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Finding the Fourth Proportional to 78,195.82, 107,909.61 and 42,384.91

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Solution

The fourth proportional to 78,195.82, 107,909.61 and 42,384.91 is: 58,490.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,195.82 : 107,909.61 = 42,384.91 : x
  2. Step 2: Convert to fraction form
    78,195.82/107,909.61 = 42,384.91/x
  3. Step 3: Cross multiply
    78,195.82x = 107,909.61 × 42,384.91
  4. Step 4: Simplify right side
    78,195.82x = 4,573,739,107.99
  5. Step 5: Solve for x
    x = 4,573,739,107.99/78,195.82
  6. Step 6: Final answer
    x = 58,490.84

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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.