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Finding the Fourth Proportional to 91,497.60, 137,246.40 and 81,984.15

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Solution

The fourth proportional to 91,497.60, 137,246.40 and 81,984.15 is: 122,976.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,497.60 : 137,246.40 = 81,984.15 : x
  2. Step 2: Convert to fraction form
    91,497.60/137,246.40 = 81,984.15/x
  3. Step 3: Cross multiply
    91,497.60x = 137,246.40 × 81,984.15
  4. Step 4: Simplify right side
    91,497.60x = 11,252,029,444.56
  5. Step 5: Solve for x
    x = 11,252,029,444.56/91,497.60
  6. Step 6: Final answer
    x = 122,976.23

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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.