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Finding the Fourth Proportional to 78,569, 108,425.22 and 45,035

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Solution

The fourth proportional to 78,569, 108,425.22 and 45,035 is: 62,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,569 : 108,425.22 = 45,035 : x
  2. Step 2: Convert to fraction form
    78,569/108,425.22 = 45,035/x
  3. Step 3: Cross multiply
    78,569x = 108,425.22 × 45,035
  4. Step 4: Simplify right side
    78,569x = 4,882,929,782.70
  5. Step 5: Solve for x
    x = 4,882,929,782.70/78,569
  6. Step 6: Final answer
    x = 62,148.30

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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.