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Finding the Fourth Proportional to 78,013.50, 107,658.90 and 42,203.68

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Solution

The fourth proportional to 78,013.50, 107,658.90 and 42,203.68 is: 58,241.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,013.50 : 107,658.90 = 42,203.68 : x
  2. Step 2: Convert to fraction form
    78,013.50/107,658.90 = 42,203.68/x
  3. Step 3: Cross multiply
    78,013.50x = 107,658.90 × 42,203.68
  4. Step 4: Simplify right side
    78,013.50x = 4,543,601,764.75
  5. Step 5: Solve for x
    x = 4,543,601,764.75/78,013.50
  6. Step 6: Final answer
    x = 58,241.22

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1.5x scale

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.