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Finding the Fourth Proportional to 161,791.70, 242,496.92 and 72,941.18

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Solution

The fourth proportional to 161,791.70, 242,496.92 and 72,941.18 is: 109,325.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,791.70 : 242,496.92 = 72,941.18 : x
  2. Step 2: Convert to fraction form
    161,791.70/242,496.92 = 72,941.18/x
  3. Step 3: Cross multiply
    161,791.70x = 242,496.92 × 72,941.18
  4. Step 4: Simplify right side
    161,791.70x = 17,688,010,461.03
  5. Step 5: Solve for x
    x = 17,688,010,461.03/161,791.70
  6. Step 6: Final answer
    x = 109,325.82

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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.