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Finding the Fourth Proportional to 542,089.69, 813,069.95 and 142,761.61

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Solution

The fourth proportional to 542,089.69, 813,069.95 and 142,761.61 is: 214,125.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,089.69 : 813,069.95 = 142,761.61 : x
  2. Step 2: Convert to fraction form
    542,089.69/813,069.95 = 142,761.61/x
  3. Step 3: Cross multiply
    542,089.69x = 813,069.95 × 142,761.61
  4. Step 4: Simplify right side
    542,089.69x = 116,075,175,104.62
  5. Step 5: Solve for x
    x = 116,075,175,104.62/542,089.69
  6. Step 6: Final answer
    x = 214,125.41

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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.