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Finding the Fourth Proportional to 78,129.68, 107,818.91 and 42,319.61

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Solution

The fourth proportional to 78,129.68, 107,818.91 and 42,319.61 is: 58,401.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,129.68 : 107,818.91 = 42,319.61 : x
  2. Step 2: Convert to fraction form
    78,129.68/107,818.91 = 42,319.61/x
  3. Step 3: Cross multiply
    78,129.68x = 107,818.91 × 42,319.61
  4. Step 4: Simplify right side
    78,129.68x = 4,562,853,682.73
  5. Step 5: Solve for x
    x = 4,562,853,682.73/78,129.68
  6. Step 6: Final answer
    x = 58,401.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.