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Finding the Fourth Proportional to 144,035.84, 215,764.38 and 71,770.77

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Solution

The fourth proportional to 144,035.84, 215,764.38 and 71,770.77 is: 107,511.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,035.84 : 215,764.38 = 71,770.77 : x
  2. Step 2: Convert to fraction form
    144,035.84/215,764.38 = 71,770.77/x
  3. Step 3: Cross multiply
    144,035.84x = 215,764.38 × 71,770.77
  4. Step 4: Simplify right side
    144,035.84x = 15,485,575,691.17
  5. Step 5: Solve for x
    x = 15,485,575,691.17/144,035.84
  6. Step 6: Final answer
    x = 107,511.97

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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.