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Finding the Fourth Proportional to 157,126.91, 216,834.74 and 85,506.92

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Solution

The fourth proportional to 157,126.91, 216,834.74 and 85,506.92 is: 117,999.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,126.91 : 216,834.74 = 85,506.92 : x
  2. Step 2: Convert to fraction form
    157,126.91/216,834.74 = 85,506.92/x
  3. Step 3: Cross multiply
    157,126.91x = 216,834.74 × 85,506.92
  4. Step 4: Simplify right side
    157,126.91x = 18,540,869,254.69
  5. Step 5: Solve for x
    x = 18,540,869,254.69/157,126.91
  6. Step 6: Final answer
    x = 117,999.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.