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Finding the Fourth Proportional to 81,280.80, 121,726.80 and 65,728.80

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Solution

The fourth proportional to 81,280.80, 121,726.80 and 65,728.80 is: 98,436.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,280.80 : 121,726.80 = 65,728.80 : x
  2. Step 2: Convert to fraction form
    81,280.80/121,726.80 = 65,728.80/x
  3. Step 3: Cross multiply
    81,280.80x = 121,726.80 × 65,728.80
  4. Step 4: Simplify right side
    81,280.80x = 8,000,956,491.84
  5. Step 5: Solve for x
    x = 8,000,956,491.84/81,280.80
  6. Step 6: Final answer
    x = 98,436.00

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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.