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Finding the Fourth Proportional to 139,812.52, 209,704.20 and 39,966.24

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Solution

The fourth proportional to 139,812.52, 209,704.20 and 39,966.24 is: 59,945.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,812.52 : 209,704.20 = 39,966.24 : x
  2. Step 2: Convert to fraction form
    139,812.52/209,704.20 = 39,966.24/x
  3. Step 3: Cross multiply
    139,812.52x = 209,704.20 × 39,966.24
  4. Step 4: Simplify right side
    139,812.52x = 8,381,088,386.21
  5. Step 5: Solve for x
    x = 8,381,088,386.21/139,812.52
  6. Step 6: Final answer
    x = 59,945.19

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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.