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Finding the Fourth Proportional to 75,294.65, 103,909.88 and 45,074.12

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Solution

The fourth proportional to 75,294.65, 103,909.88 and 45,074.12 is: 62,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,294.65 : 103,909.88 = 45,074.12 : x
  2. Step 2: Convert to fraction form
    75,294.65/103,909.88 = 45,074.12/x
  3. Step 3: Cross multiply
    75,294.65x = 103,909.88 × 45,074.12
  4. Step 4: Simplify right side
    75,294.65x = 4,683,646,400.31
  5. Step 5: Solve for x
    x = 4,683,646,400.31/75,294.65
  6. Step 6: Final answer
    x = 62,204.24

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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.