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Finding the Fourth Proportional to 208,839.80, 313,259.70 and 145,854.20

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Solution

The fourth proportional to 208,839.80, 313,259.70 and 145,854.20 is: 218,781.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,839.80 : 313,259.70 = 145,854.20 : x
  2. Step 2: Convert to fraction form
    208,839.80/313,259.70 = 145,854.20/x
  3. Step 3: Cross multiply
    208,839.80x = 313,259.70 × 145,854.20
  4. Step 4: Simplify right side
    208,839.80x = 45,690,242,935.74
  5. Step 5: Solve for x
    x = 45,690,242,935.74/208,839.80
  6. Step 6: Final answer
    x = 218,781.30

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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.