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Finding the Fourth Proportional to 243,616.80, 365,425.20 and 138,640.80

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Solution

The fourth proportional to 243,616.80, 365,425.20 and 138,640.80 is: 207,961.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,616.80 : 365,425.20 = 138,640.80 : x
  2. Step 2: Convert to fraction form
    243,616.80/365,425.20 = 138,640.80/x
  3. Step 3: Cross multiply
    243,616.80x = 365,425.20 × 138,640.80
  4. Step 4: Simplify right side
    243,616.80x = 50,662,842,068.16
  5. Step 5: Solve for x
    x = 50,662,842,068.16/243,616.80
  6. Step 6: Final answer
    x = 207,961.20

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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.