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Finding the Fourth Proportional to 125,402.58, 188,168.40 and 83,311.74

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Solution

The fourth proportional to 125,402.58, 188,168.40 and 83,311.74 is: 125,010.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,402.58 : 188,168.40 = 83,311.74 : x
  2. Step 2: Convert to fraction form
    125,402.58/188,168.40 = 83,311.74/x
  3. Step 3: Cross multiply
    125,402.58x = 188,168.40 × 83,311.74
  4. Step 4: Simplify right side
    125,402.58x = 15,676,636,817.02
  5. Step 5: Solve for x
    x = 15,676,636,817.02/125,402.58
  6. Step 6: Final answer
    x = 125,010.48

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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.