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Finding the Fourth Proportional to 109,725, 151,420.50 and 59,424

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Solution

The fourth proportional to 109,725, 151,420.50 and 59,424 is: 82,005.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,725 : 151,420.50 = 59,424 : x
  2. Step 2: Convert to fraction form
    109,725/151,420.50 = 59,424/x
  3. Step 3: Cross multiply
    109,725x = 151,420.50 × 59,424
  4. Step 4: Simplify right side
    109,725x = 8,998,011,792
  5. Step 5: Solve for x
    x = 8,998,011,792/109,725
  6. Step 6: Final answer
    x = 82,005.12

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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.