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Finding the Fourth Proportional to 542,123.33, 813,224.90 and 142,761.29

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Solution

The fourth proportional to 542,123.33, 813,224.90 and 142,761.29 is: 214,152.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,123.33 : 813,224.90 = 142,761.29 : x
  2. Step 2: Convert to fraction form
    542,123.33/813,224.90 = 142,761.29/x
  3. Step 3: Cross multiply
    542,123.33x = 813,224.90 × 142,761.29
  4. Step 4: Simplify right side
    542,123.33x = 116,097,035,070.32
  5. Step 5: Solve for x
    x = 116,097,035,070.32/542,123.33
  6. Step 6: Final answer
    x = 214,152.44

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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.