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Finding the Fourth Proportional to 161,689.68, 242,385.48 and 148,405.68

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Solution

The fourth proportional to 161,689.68, 242,385.48 and 148,405.68 is: 222,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,689.68 : 242,385.48 = 148,405.68 : x
  2. Step 2: Convert to fraction form
    161,689.68/242,385.48 = 148,405.68/x
  3. Step 3: Cross multiply
    161,689.68x = 242,385.48 × 148,405.68
  4. Step 4: Simplify right side
    161,689.68x = 35,971,381,981.53
  5. Step 5: Solve for x
    x = 35,971,381,981.53/161,689.68
  6. Step 6: Final answer
    x = 222,471.72

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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.