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Finding the Fourth Proportional to 281,105.84, 387,935.23 and 153,781.43

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Solution

The fourth proportional to 281,105.84, 387,935.23 and 153,781.43 is: 212,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,105.84 : 387,935.23 = 153,781.43 : x
  2. Step 2: Convert to fraction form
    281,105.84/387,935.23 = 153,781.43/x
  3. Step 3: Cross multiply
    281,105.84x = 387,935.23 × 153,781.43
  4. Step 4: Simplify right side
    281,105.84x = 59,657,235,002.16
  5. Step 5: Solve for x
    x = 59,657,235,002.16/281,105.84
  6. Step 6: Final answer
    x = 212,223.40

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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.