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Finding the Fourth Proportional to 106,191.92, 146,521.32 and 61,454

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Solution

The fourth proportional to 106,191.92, 146,521.32 and 61,454 is: 84,792.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,191.92 : 146,521.32 = 61,454 : x
  2. Step 2: Convert to fraction form
    106,191.92/146,521.32 = 61,454/x
  3. Step 3: Cross multiply
    106,191.92x = 146,521.32 × 61,454
  4. Step 4: Simplify right side
    106,191.92x = 9,004,321,199.28
  5. Step 5: Solve for x
    x = 9,004,321,199.28/106,191.92
  6. Step 6: Final answer
    x = 84,792.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.