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Finding the Fourth Proportional to 115,209.28, 172,815.12 and 32,103.28

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Solution

The fourth proportional to 115,209.28, 172,815.12 and 32,103.28 is: 48,155.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,209.28 : 172,815.12 = 32,103.28 : x
  2. Step 2: Convert to fraction form
    115,209.28/172,815.12 = 32,103.28/x
  3. Step 3: Cross multiply
    115,209.28x = 172,815.12 × 32,103.28
  4. Step 4: Simplify right side
    115,209.28x = 5,547,932,185.59
  5. Step 5: Solve for x
    x = 5,547,932,185.59/115,209.28
  6. Step 6: Final answer
    x = 48,155.25

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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.