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Finding the Fourth Proportional to 161,727.90, 242,591.85 and 90,869.10

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Solution

The fourth proportional to 161,727.90, 242,591.85 and 90,869.10 is: 136,303.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,727.90 : 242,591.85 = 90,869.10 : x
  2. Step 2: Convert to fraction form
    161,727.90/242,591.85 = 90,869.10/x
  3. Step 3: Cross multiply
    161,727.90x = 242,591.85 × 90,869.10
  4. Step 4: Simplify right side
    161,727.90x = 22,044,103,076.84
  5. Step 5: Solve for x
    x = 22,044,103,076.84/161,727.90
  6. Step 6: Final answer
    x = 136,303.65

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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.