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Finding the Fourth Proportional to 129,537, 178,761.60 and 72,949.32

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Solution

The fourth proportional to 129,537, 178,761.60 and 72,949.32 is: 100,670.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,537 : 178,761.60 = 72,949.32 : x
  2. Step 2: Convert to fraction form
    129,537/178,761.60 = 72,949.32/x
  3. Step 3: Cross multiply
    129,537x = 178,761.60 × 72,949.32
  4. Step 4: Simplify right side
    129,537x = 13,040,537,162.11
  5. Step 5: Solve for x
    x = 13,040,537,162.11/129,537
  6. Step 6: Final answer
    x = 100,670.37

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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.