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Finding the Fourth Proportional to 133,124.78, 183,710.76 and 72,695.24

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Solution

The fourth proportional to 133,124.78, 183,710.76 and 72,695.24 is: 100,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,124.78 : 183,710.76 = 72,695.24 : x
  2. Step 2: Convert to fraction form
    133,124.78/183,710.76 = 72,695.24/x
  3. Step 3: Cross multiply
    133,124.78x = 183,710.76 × 72,695.24
  4. Step 4: Simplify right side
    133,124.78x = 13,354,897,788.78
  5. Step 5: Solve for x
    x = 13,354,897,788.78/133,124.78
  6. Step 6: Final answer
    x = 100,318.65

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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.