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Finding the Fourth Proportional to 78,862.96, 118,281.30 and 23,446

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Solution

The fourth proportional to 78,862.96, 118,281.30 and 23,446 is: 35,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,862.96 : 118,281.30 = 23,446 : x
  2. Step 2: Convert to fraction form
    78,862.96/118,281.30 = 23,446/x
  3. Step 3: Cross multiply
    78,862.96x = 118,281.30 × 23,446
  4. Step 4: Simplify right side
    78,862.96x = 2,773,223,359.80
  5. Step 5: Solve for x
    x = 2,773,223,359.80/78,862.96
  6. Step 6: Final answer
    x = 35,165.09

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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.