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Finding the Fourth Proportional to 161,753.92, 242,657.28 and 50,920

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Solution

The fourth proportional to 161,753.92, 242,657.28 and 50,920 is: 76,388.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,753.92 : 242,657.28 = 50,920 : x
  2. Step 2: Convert to fraction form
    161,753.92/242,657.28 = 50,920/x
  3. Step 3: Cross multiply
    161,753.92x = 242,657.28 × 50,920
  4. Step 4: Simplify right side
    161,753.92x = 12,356,108,697.60
  5. Step 5: Solve for x
    x = 12,356,108,697.60/161,753.92
  6. Step 6: Final answer
    x = 76,388.31

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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.