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Finding the Fourth Proportional to 115,300.80, 172,432.80 and 96,638.40

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Solution

The fourth proportional to 115,300.80, 172,432.80 and 96,638.40 is: 144,523.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,300.80 : 172,432.80 = 96,638.40 : x
  2. Step 2: Convert to fraction form
    115,300.80/172,432.80 = 96,638.40/x
  3. Step 3: Cross multiply
    115,300.80x = 172,432.80 × 96,638.40
  4. Step 4: Simplify right side
    115,300.80x = 16,663,629,899.52
  5. Step 5: Solve for x
    x = 16,663,629,899.52/115,300.80
  6. Step 6: Final answer
    x = 144,523.11

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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.