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Finding the Fourth Proportional to 161,478.47, 242,217.84 and 77,218.76

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Solution

The fourth proportional to 161,478.47, 242,217.84 and 77,218.76 is: 115,828.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,478.47 : 242,217.84 = 77,218.76 : x
  2. Step 2: Convert to fraction form
    161,478.47/242,217.84 = 77,218.76/x
  3. Step 3: Cross multiply
    161,478.47x = 242,217.84 × 77,218.76
  4. Step 4: Simplify right side
    161,478.47x = 18,703,761,254.68
  5. Step 5: Solve for x
    x = 18,703,761,254.68/161,478.47
  6. Step 6: Final answer
    x = 115,828.20

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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.