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Finding the Fourth Proportional to 105,419.20, 158,215.20 and 101,963.20

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Solution

The fourth proportional to 105,419.20, 158,215.20 and 101,963.20 is: 153,028.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,419.20 : 158,215.20 = 101,963.20 : x
  2. Step 2: Convert to fraction form
    105,419.20/158,215.20 = 101,963.20/x
  3. Step 3: Cross multiply
    105,419.20x = 158,215.20 × 101,963.20
  4. Step 4: Simplify right side
    105,419.20x = 16,132,128,080.64
  5. Step 5: Solve for x
    x = 16,132,128,080.64/105,419.20
  6. Step 6: Final answer
    x = 153,028.37

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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.