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Finding the Fourth Proportional to 75,647.68, 113,392.64 and 42,318.88

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Solution

The fourth proportional to 75,647.68, 113,392.64 and 42,318.88 is: 63,434.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,647.68 : 113,392.64 = 42,318.88 : x
  2. Step 2: Convert to fraction form
    75,647.68/113,392.64 = 42,318.88/x
  3. Step 3: Cross multiply
    75,647.68x = 113,392.64 × 42,318.88
  4. Step 4: Simplify right side
    75,647.68x = 4,798,649,525.04
  5. Step 5: Solve for x
    x = 4,798,649,525.04/75,647.68
  6. Step 6: Final answer
    x = 63,434.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.