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Finding the Fourth Proportional to 542,123.83, 813,225.65 and 142,761.79

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Solution

The fourth proportional to 542,123.83, 813,225.65 and 142,761.79 is: 214,153.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,123.83 : 813,225.65 = 142,761.79 : x
  2. Step 2: Convert to fraction form
    542,123.83/813,225.65 = 142,761.79/x
  3. Step 3: Cross multiply
    542,123.83x = 813,225.65 × 142,761.79
  4. Step 4: Simplify right side
    542,123.83x = 116,097,548,754.11
  5. Step 5: Solve for x
    x = 116,097,548,754.11/542,123.83
  6. Step 6: Final answer
    x = 214,153.19

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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.