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Finding the Fourth Proportional to 139,511.60, 209,244.98 and 38,286.00

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Solution

The fourth proportional to 139,511.60, 209,244.98 and 38,286.00 is: 57,422.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,511.60 : 209,244.98 = 38,286.00 : x
  2. Step 2: Convert to fraction form
    139,511.60/209,244.98 = 38,286.00/x
  3. Step 3: Cross multiply
    139,511.60x = 209,244.98 × 38,286.00
  4. Step 4: Simplify right side
    139,511.60x = 8,011,153,012.46
  5. Step 5: Solve for x
    x = 8,011,153,012.46/139,511.60
  6. Step 6: Final answer
    x = 57,422.85

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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.