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Finding the Fourth Proportional to 106,478.60, 146,987.70 and 68,771.24

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Solution

The fourth proportional to 106,478.60, 146,987.70 and 68,771.24 is: 94,934.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,478.60 : 146,987.70 = 68,771.24 : x
  2. Step 2: Convert to fraction form
    106,478.60/146,987.70 = 68,771.24/x
  3. Step 3: Cross multiply
    106,478.60x = 146,987.70 × 68,771.24
  4. Step 4: Simplify right side
    106,478.60x = 10,108,526,393.75
  5. Step 5: Solve for x
    x = 10,108,526,393.75/106,478.60
  6. Step 6: Final answer
    x = 94,934.82

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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.