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Finding the Fourth Proportional to 75,346.56, 103,967.64 and 45,124.80

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Solution

The fourth proportional to 75,346.56, 103,967.64 and 45,124.80 is: 62,265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,346.56 : 103,967.64 = 45,124.80 : x
  2. Step 2: Convert to fraction form
    75,346.56/103,967.64 = 45,124.80/x
  3. Step 3: Cross multiply
    75,346.56x = 103,967.64 × 45,124.80
  4. Step 4: Simplify right side
    75,346.56x = 4,691,518,961.47
  5. Step 5: Solve for x
    x = 4,691,518,961.47/75,346.56
  6. Step 6: Final answer
    x = 62,265.87

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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.