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Finding the Fourth Proportional to 75,613.50, 113,439.02 and 31,253.04

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Solution

The fourth proportional to 75,613.50, 113,439.02 and 31,253.04 is: 46,887.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,613.50 : 113,439.02 = 31,253.04 : x
  2. Step 2: Convert to fraction form
    75,613.50/113,439.02 = 31,253.04/x
  3. Step 3: Cross multiply
    75,613.50x = 113,439.02 × 31,253.04
  4. Step 4: Simplify right side
    75,613.50x = 3,545,314,073.36
  5. Step 5: Solve for x
    x = 3,545,314,073.36/75,613.50
  6. Step 6: Final answer
    x = 46,887.32

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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.