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Finding the Fourth Proportional to 78,634, 108,519.24 and 45,102.16

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Solution

The fourth proportional to 78,634, 108,519.24 and 45,102.16 is: 62,243.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,634 : 108,519.24 = 45,102.16 : x
  2. Step 2: Convert to fraction form
    78,634/108,519.24 = 45,102.16/x
  3. Step 3: Cross multiply
    78,634x = 108,519.24 × 45,102.16
  4. Step 4: Simplify right side
    78,634x = 4,894,452,125.56
  5. Step 5: Solve for x
    x = 4,894,452,125.56/78,634
  6. Step 6: Final answer
    x = 62,243.46

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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.