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Finding the Fourth Proportional to 139,513.60, 209,247.98 and 38,288

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Solution

The fourth proportional to 139,513.60, 209,247.98 and 38,288 is: 57,425.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,513.60 : 209,247.98 = 38,288 : x
  2. Step 2: Convert to fraction form
    139,513.60/209,247.98 = 38,288/x
  3. Step 3: Cross multiply
    139,513.60x = 209,247.98 × 38,288
  4. Step 4: Simplify right side
    139,513.60x = 8,011,686,658.24
  5. Step 5: Solve for x
    x = 8,011,686,658.24/139,513.60
  6. Step 6: Final answer
    x = 57,425.85

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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.