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Finding the Fourth Proportional to 136,141.98, 187,848.95 and 82,432

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Solution

The fourth proportional to 136,141.98, 187,848.95 and 82,432 is: 113,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,141.98 : 187,848.95 = 82,432 : x
  2. Step 2: Convert to fraction form
    136,141.98/187,848.95 = 82,432/x
  3. Step 3: Cross multiply
    136,141.98x = 187,848.95 × 82,432
  4. Step 4: Simplify right side
    136,141.98x = 15,484,764,646.40
  5. Step 5: Solve for x
    x = 15,484,764,646.40/136,141.98
  6. Step 6: Final answer
    x = 113,739.82

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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.