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Finding the Fourth Proportional to 161,497, 242,247.66 and 50,689

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Solution

The fourth proportional to 161,497, 242,247.66 and 50,689 is: 76,034.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,497 : 242,247.66 = 50,689 : x
  2. Step 2: Convert to fraction form
    161,497/242,247.66 = 50,689/x
  3. Step 3: Cross multiply
    161,497x = 242,247.66 × 50,689
  4. Step 4: Simplify right side
    161,497x = 12,279,291,637.74
  5. Step 5: Solve for x
    x = 12,279,291,637.74/161,497
  6. Step 6: Final answer
    x = 76,034.18

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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.