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Finding the Fourth Proportional to 78,817.40, 108,766.50 and 43,006.52

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Solution

The fourth proportional to 78,817.40, 108,766.50 and 43,006.52 is: 59,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,817.40 : 108,766.50 = 43,006.52 : x
  2. Step 2: Convert to fraction form
    78,817.40/108,766.50 = 43,006.52/x
  3. Step 3: Cross multiply
    78,817.40x = 108,766.50 × 43,006.52
  4. Step 4: Simplify right side
    78,817.40x = 4,677,668,657.58
  5. Step 5: Solve for x
    x = 4,677,668,657.58/78,817.40
  6. Step 6: Final answer
    x = 59,348.17

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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.