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Finding the Fourth Proportional to 139,816.92, 209,737.47 and 38,615.01

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Solution

The fourth proportional to 139,816.92, 209,737.47 and 38,615.01 is: 57,925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,816.92 : 209,737.47 = 38,615.01 : x
  2. Step 2: Convert to fraction form
    139,816.92/209,737.47 = 38,615.01/x
  3. Step 3: Cross multiply
    139,816.92x = 209,737.47 × 38,615.01
  4. Step 4: Simplify right side
    139,816.92x = 8,099,013,452.74
  5. Step 5: Solve for x
    x = 8,099,013,452.74/139,816.92
  6. Step 6: Final answer
    x = 57,925.85

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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.