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Finding the Fourth Proportional to 137,143.71, 205,720.11 and 47,185.56

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Solution

The fourth proportional to 137,143.71, 205,720.11 and 47,185.56 is: 70,779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,143.71 : 205,720.11 = 47,185.56 : x
  2. Step 2: Convert to fraction form
    137,143.71/205,720.11 = 47,185.56/x
  3. Step 3: Cross multiply
    137,143.71x = 205,720.11 × 47,185.56
  4. Step 4: Simplify right side
    137,143.71x = 9,707,018,593.61
  5. Step 5: Solve for x
    x = 9,707,018,593.61/137,143.71
  6. Step 6: Final answer
    x = 70,779.90

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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.