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Finding the Fourth Proportional to 206,899,310.40, 310,324,082.40 and 85,718,126.40

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Solution

The fourth proportional to 206,899,310.40, 310,324,082.40 and 85,718,126.40 is: 128,566,880.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,899,310.40 : 310,324,082.40 = 85,718,126.40 : x
  2. Step 2: Convert to fraction form
    206,899,310.40/310,324,082.40 = 85,718,126.40/x
  3. Step 3: Cross multiply
    206,899,310.40x = 310,324,082.40 × 85,718,126.40
  4. Step 4: Simplify right side
    206,899,310.40x = 26,600,398,920,127,216
  5. Step 5: Solve for x
    x = 26,600,398,920,127,216/206,899,310.40
  6. Step 6: Final answer
    x = 128,566,880.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.