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Finding the Fourth Proportional to 129,264.38, 178,312 and 77,568.11

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Solution

The fourth proportional to 129,264.38, 178,312 and 77,568.11 is: 107,000.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,264.38 : 178,312 = 77,568.11 : x
  2. Step 2: Convert to fraction form
    129,264.38/178,312 = 77,568.11/x
  3. Step 3: Cross multiply
    129,264.38x = 178,312 × 77,568.11
  4. Step 4: Simplify right side
    129,264.38x = 13,831,324,830.32
  5. Step 5: Solve for x
    x = 13,831,324,830.32/129,264.38
  6. Step 6: Final answer
    x = 107,000.28

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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.