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Finding the Fourth Proportional to 144,618.20, 216,830.10 and 65,691.80

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Solution

The fourth proportional to 144,618.20, 216,830.10 and 65,691.80 is: 98,493.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,618.20 : 216,830.10 = 65,691.80 : x
  2. Step 2: Convert to fraction form
    144,618.20/216,830.10 = 65,691.80/x
  3. Step 3: Cross multiply
    144,618.20x = 216,830.10 × 65,691.80
  4. Step 4: Simplify right side
    144,618.20x = 14,243,959,563.18
  5. Step 5: Solve for x
    x = 14,243,959,563.18/144,618.20
  6. Step 6: Final answer
    x = 98,493.55

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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.