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Finding the Fourth Proportional to 542,120.47, 813,182.53 and 137,312.54

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Solution

The fourth proportional to 542,120.47, 813,182.53 and 137,312.54 is: 205,969.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,120.47 : 813,182.53 = 137,312.54 : x
  2. Step 2: Convert to fraction form
    542,120.47/813,182.53 = 137,312.54/x
  3. Step 3: Cross multiply
    542,120.47x = 813,182.53 × 137,312.54
  4. Step 4: Simplify right side
    542,120.47x = 111,660,159,669.61
  5. Step 5: Solve for x
    x = 111,660,159,669.61/542,120.47
  6. Step 6: Final answer
    x = 205,969.27

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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.