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Finding the Fourth Proportional to 125,557.76, 188,352 and 51,706.88

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Solution

The fourth proportional to 125,557.76, 188,352 and 51,706.88 is: 77,566.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,557.76 : 188,352 = 51,706.88 : x
  2. Step 2: Convert to fraction form
    125,557.76/188,352 = 51,706.88/x
  3. Step 3: Cross multiply
    125,557.76x = 188,352 × 51,706.88
  4. Step 4: Simplify right side
    125,557.76x = 9,739,094,261.76
  5. Step 5: Solve for x
    x = 9,739,094,261.76/125,557.76
  6. Step 6: Final answer
    x = 77,566.65

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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.