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Finding the Fourth Proportional to 157,186.86, 235,551.87 and 72,972.78

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Solution

The fourth proportional to 157,186.86, 235,551.87 and 72,972.78 is: 109,353.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,186.86 : 235,551.87 = 72,972.78 : x
  2. Step 2: Convert to fraction form
    157,186.86/235,551.87 = 72,972.78/x
  3. Step 3: Cross multiply
    157,186.86x = 235,551.87 × 72,972.78
  4. Step 4: Simplify right side
    157,186.86x = 17,188,874,788.10
  5. Step 5: Solve for x
    x = 17,188,874,788.10/157,186.86
  6. Step 6: Final answer
    x = 109,353.13

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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.