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Finding the Fourth Proportional to 105,468.52, 158,228.16 and 43,139.20

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Solution

The fourth proportional to 105,468.52, 158,228.16 and 43,139.20 is: 64,719.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,468.52 : 158,228.16 = 43,139.20 : x
  2. Step 2: Convert to fraction form
    105,468.52/158,228.16 = 43,139.20/x
  3. Step 3: Cross multiply
    105,468.52x = 158,228.16 × 43,139.20
  4. Step 4: Simplify right side
    105,468.52x = 6,825,836,239.87
  5. Step 5: Solve for x
    x = 6,825,836,239.87/105,468.52
  6. Step 6: Final answer
    x = 64,719.18

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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.