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Finding the Fourth Proportional to 81,956.10, 122,945.10 and 28,641.90

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Solution

The fourth proportional to 81,956.10, 122,945.10 and 28,641.90 is: 42,966.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,956.10 : 122,945.10 = 28,641.90 : x
  2. Step 2: Convert to fraction form
    81,956.10/122,945.10 = 28,641.90/x
  3. Step 3: Cross multiply
    81,956.10x = 122,945.10 × 28,641.90
  4. Step 4: Simplify right side
    81,956.10x = 3,521,381,259.69
  5. Step 5: Solve for x
    x = 3,521,381,259.69/81,956.10
  6. Step 6: Final answer
    x = 42,966.68

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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.