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Finding the Fourth Proportional to 161,721.70, 242,582.55 and 82,989.70

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Solution

The fourth proportional to 161,721.70, 242,582.55 and 82,989.70 is: 124,484.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,721.70 : 242,582.55 = 82,989.70 : x
  2. Step 2: Convert to fraction form
    161,721.70/242,582.55 = 82,989.70/x
  3. Step 3: Cross multiply
    161,721.70x = 242,582.55 × 82,989.70
  4. Step 4: Simplify right side
    161,721.70x = 20,131,853,049.74
  5. Step 5: Solve for x
    x = 20,131,853,049.74/161,721.70
  6. Step 6: Final answer
    x = 124,484.55

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1.5x scale

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.