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Finding the Fourth Proportional to 218,203.59, 301,261.62 and 140,713.89

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Solution

The fourth proportional to 218,203.59, 301,261.62 and 140,713.89 is: 194,275.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,203.59 : 301,261.62 = 140,713.89 : x
  2. Step 2: Convert to fraction form
    218,203.59/301,261.62 = 140,713.89/x
  3. Step 3: Cross multiply
    218,203.59x = 301,261.62 × 140,713.89
  4. Step 4: Simplify right side
    218,203.59x = 42,391,694,457.90
  5. Step 5: Solve for x
    x = 42,391,694,457.90/218,203.59
  6. Step 6: Final answer
    x = 194,275.88

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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.