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Finding the Fourth Proportional to 75,105.40, 103,656.84 and 42,839.86

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Solution

The fourth proportional to 75,105.40, 103,656.84 and 42,839.86 is: 59,125.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,105.40 : 103,656.84 = 42,839.86 : x
  2. Step 2: Convert to fraction form
    75,105.40/103,656.84 = 42,839.86/x
  3. Step 3: Cross multiply
    75,105.40x = 103,656.84 × 42,839.86
  4. Step 4: Simplify right side
    75,105.40x = 4,440,644,513.64
  5. Step 5: Solve for x
    x = 4,440,644,513.64/75,105.40
  6. Step 6: Final answer
    x = 59,125.50

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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.