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Finding the Fourth Proportional to 105,531.20, 157,951.20 and 82,030.40

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Solution

The fourth proportional to 105,531.20, 157,951.20 and 82,030.40 is: 122,776.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,531.20 : 157,951.20 = 82,030.40 : x
  2. Step 2: Convert to fraction form
    105,531.20/157,951.20 = 82,030.40/x
  3. Step 3: Cross multiply
    105,531.20x = 157,951.20 × 82,030.40
  4. Step 4: Simplify right side
    105,531.20x = 12,956,800,116.48
  5. Step 5: Solve for x
    x = 12,956,800,116.48/105,531.20
  6. Step 6: Final answer
    x = 122,776.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.