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Finding the Fourth Proportional to 161,856.80, 242,712.30 and 61,983.80

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Solution

The fourth proportional to 161,856.80, 242,712.30 and 61,983.80 is: 92,947.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,856.80 : 242,712.30 = 61,983.80 : x
  2. Step 2: Convert to fraction form
    161,856.80/242,712.30 = 61,983.80/x
  3. Step 3: Cross multiply
    161,856.80x = 242,712.30 × 61,983.80
  4. Step 4: Simplify right side
    161,856.80x = 15,044,230,660.74
  5. Step 5: Solve for x
    x = 15,044,230,660.74/161,856.80
  6. Step 6: Final answer
    x = 92,947.78

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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.