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Finding the Fourth Proportional to 89,957.40, 135,054.90 and 72,197.88

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Solution

The fourth proportional to 89,957.40, 135,054.90 and 72,197.88 is: 108,392.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,957.40 : 135,054.90 = 72,197.88 : x
  2. Step 2: Convert to fraction form
    89,957.40/135,054.90 = 72,197.88/x
  3. Step 3: Cross multiply
    89,957.40x = 135,054.90 × 72,197.88
  4. Step 4: Simplify right side
    89,957.40x = 9,750,677,463.61
  5. Step 5: Solve for x
    x = 9,750,677,463.61/89,957.40
  6. Step 6: Final answer
    x = 108,392.17

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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.