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Finding the Fourth Proportional to 157,951.86, 236,833.12 and 72,455.65

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Solution

The fourth proportional to 157,951.86, 236,833.12 and 72,455.65 is: 108,640.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,951.86 : 236,833.12 = 72,455.65 : x
  2. Step 2: Convert to fraction form
    157,951.86/236,833.12 = 72,455.65/x
  3. Step 3: Cross multiply
    157,951.86x = 236,833.12 × 72,455.65
  4. Step 4: Simplify right side
    157,951.86x = 17,159,897,741.19
  5. Step 5: Solve for x
    x = 17,159,897,741.19/157,951.86
  6. Step 6: Final answer
    x = 108,640.05

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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.