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Finding the Fourth Proportional to 161,690.31, 242,535.48 and 61,881.12

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Solution

The fourth proportional to 161,690.31, 242,535.48 and 61,881.12 is: 92,821.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,690.31 : 242,535.48 = 61,881.12 : x
  2. Step 2: Convert to fraction form
    161,690.31/242,535.48 = 61,881.12/x
  3. Step 3: Cross multiply
    161,690.31x = 242,535.48 × 61,881.12
  4. Step 4: Simplify right side
    161,690.31x = 15,008,367,142.14
  5. Step 5: Solve for x
    x = 15,008,367,142.14/161,690.31
  6. Step 6: Final answer
    x = 92,821.69

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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.