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Finding the Fourth Proportional to 105,419.20, 158,128.80 and 69,989.80

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Solution

The fourth proportional to 105,419.20, 158,128.80 and 69,989.80 is: 104,984.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,419.20 : 158,128.80 = 69,989.80 : x
  2. Step 2: Convert to fraction form
    105,419.20/158,128.80 = 69,989.80/x
  3. Step 3: Cross multiply
    105,419.20x = 158,128.80 × 69,989.80
  4. Step 4: Simplify right side
    105,419.20x = 11,067,403,086.24
  5. Step 5: Solve for x
    x = 11,067,403,086.24/105,419.20
  6. Step 6: Final answer
    x = 104,984.70

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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.