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Finding the Fourth Proportional to 115,248, 172,901.20 and 32,142

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Solution

The fourth proportional to 115,248, 172,901.20 and 32,142 is: 48,221.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,248 : 172,901.20 = 32,142 : x
  2. Step 2: Convert to fraction form
    115,248/172,901.20 = 32,142/x
  3. Step 3: Cross multiply
    115,248x = 172,901.20 × 32,142
  4. Step 4: Simplify right side
    115,248x = 5,557,390,370.40
  5. Step 5: Solve for x
    x = 5,557,390,370.40/115,248
  6. Step 6: Final answer
    x = 48,221.14

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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.