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Finding the Fourth Proportional to 125,395.88, 188,304.72 and 78,121.52

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Solution

The fourth proportional to 125,395.88, 188,304.72 and 78,121.52 is: 117,313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,395.88 : 188,304.72 = 78,121.52 : x
  2. Step 2: Convert to fraction form
    125,395.88/188,304.72 = 78,121.52/x
  3. Step 3: Cross multiply
    125,395.88x = 188,304.72 × 78,121.52
  4. Step 4: Simplify right side
    125,395.88x = 14,710,650,949.57
  5. Step 5: Solve for x
    x = 14,710,650,949.57/125,395.88
  6. Step 6: Final answer
    x = 117,313.67

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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.