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Finding the Fourth Proportional to 205,395.40, 283,294.02 and 129,871

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Solution

The fourth proportional to 205,395.40, 283,294.02 and 129,871 is: 179,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,395.40 : 283,294.02 = 129,871 : x
  2. Step 2: Convert to fraction form
    205,395.40/283,294.02 = 129,871/x
  3. Step 3: Cross multiply
    205,395.40x = 283,294.02 × 129,871
  4. Step 4: Simplify right side
    205,395.40x = 36,791,677,671.42
  5. Step 5: Solve for x
    x = 36,791,677,671.42/205,395.40
  6. Step 6: Final answer
    x = 179,126.10

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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.