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Finding the Fourth Proportional to 78,551, 108,400.40 and 45,017

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Solution

The fourth proportional to 78,551, 108,400.40 and 45,017 is: 62,123.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,551 : 108,400.40 = 45,017 : x
  2. Step 2: Convert to fraction form
    78,551/108,400.40 = 45,017/x
  3. Step 3: Cross multiply
    78,551x = 108,400.40 × 45,017
  4. Step 4: Simplify right side
    78,551x = 4,879,860,806.80
  5. Step 5: Solve for x
    x = 4,879,860,806.80/78,551
  6. Step 6: Final answer
    x = 62,123.47

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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.