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Finding the Fourth Proportional to 521,154.01, 781,737.49 and 142,093.45

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Solution

The fourth proportional to 521,154.01, 781,737.49 and 142,093.45 is: 213,141.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,154.01 : 781,737.49 = 142,093.45 : x
  2. Step 2: Convert to fraction form
    521,154.01/781,737.49 = 142,093.45/x
  3. Step 3: Cross multiply
    521,154.01x = 781,737.49 × 142,093.45
  4. Step 4: Simplify right side
    521,154.01x = 111,079,776,948.44
  5. Step 5: Solve for x
    x = 111,079,776,948.44/521,154.01
  6. Step 6: Final answer
    x = 213,141.94

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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.