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Finding the Fourth Proportional to 81,234.68, 112,124.16 and 65,038.76

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Solution

The fourth proportional to 81,234.68, 112,124.16 and 65,038.76 is: 89,769.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,234.68 : 112,124.16 = 65,038.76 : x
  2. Step 2: Convert to fraction form
    81,234.68/112,124.16 = 65,038.76/x
  3. Step 3: Cross multiply
    81,234.68x = 112,124.16 × 65,038.76
  4. Step 4: Simplify right side
    81,234.68x = 7,292,416,332.44
  5. Step 5: Solve for x
    x = 7,292,416,332.44/81,234.68
  6. Step 6: Final answer
    x = 89,769.74

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1.5x scale

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.