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Finding the Fourth Proportional to 218,402.70, 301,424.19 and 125,304.96

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Solution

The fourth proportional to 218,402.70, 301,424.19 and 125,304.96 is: 172,937.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,402.70 : 301,424.19 = 125,304.96 : x
  2. Step 2: Convert to fraction form
    218,402.70/301,424.19 = 125,304.96/x
  3. Step 3: Cross multiply
    218,402.70x = 301,424.19 × 125,304.96
  4. Step 4: Simplify right side
    218,402.70x = 37,769,946,307.55
  5. Step 5: Solve for x
    x = 37,769,946,307.55/218,402.70
  6. Step 6: Final answer
    x = 172,937.17

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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.