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Finding the Fourth Proportional to 161,882.65, 242,366.07 and 85,807.86

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Solution

The fourth proportional to 161,882.65, 242,366.07 and 85,807.86 is: 128,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,882.65 : 242,366.07 = 85,807.86 : x
  2. Step 2: Convert to fraction form
    161,882.65/242,366.07 = 85,807.86/x
  3. Step 3: Cross multiply
    161,882.65x = 242,366.07 × 85,807.86
  4. Step 4: Simplify right side
    161,882.65x = 20,796,913,216.22
  5. Step 5: Solve for x
    x = 20,796,913,216.22/161,882.65
  6. Step 6: Final answer
    x = 128,469.07

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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.