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Finding the Fourth Proportional to 115,205.28, 158,963.98 and 64,206.87

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Solution

The fourth proportional to 115,205.28, 158,963.98 and 64,206.87 is: 88,594.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,205.28 : 158,963.98 = 64,206.87 : x
  2. Step 2: Convert to fraction form
    115,205.28/158,963.98 = 64,206.87/x
  3. Step 3: Cross multiply
    115,205.28x = 158,963.98 × 64,206.87
  4. Step 4: Simplify right side
    115,205.28x = 10,206,579,598.54
  5. Step 5: Solve for x
    x = 10,206,579,598.54/115,205.28
  6. Step 6: Final answer
    x = 88,594.72

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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.