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Finding the Fourth Proportional to 138,412.95, 190,955.17 and 87,406.63

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Solution

The fourth proportional to 138,412.95, 190,955.17 and 87,406.63 is: 120,586.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,412.95 : 190,955.17 = 87,406.63 : x
  2. Step 2: Convert to fraction form
    138,412.95/190,955.17 = 87,406.63/x
  3. Step 3: Cross multiply
    138,412.95x = 190,955.17 × 87,406.63
  4. Step 4: Simplify right side
    138,412.95x = 16,690,747,890.78
  5. Step 5: Solve for x
    x = 16,690,747,890.78/138,412.95
  6. Step 6: Final answer
    x = 120,586.61

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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.