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Finding the Fourth Proportional to 131,874, 197,820.12 and 52,988.16

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Solution

The fourth proportional to 131,874, 197,820.12 and 52,988.16 is: 79,485.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,874 : 197,820.12 = 52,988.16 : x
  2. Step 2: Convert to fraction form
    131,874/197,820.12 = 52,988.16/x
  3. Step 3: Cross multiply
    131,874x = 197,820.12 × 52,988.16
  4. Step 4: Simplify right side
    131,874x = 10,482,124,169.78
  5. Step 5: Solve for x
    x = 10,482,124,169.78/131,874
  6. Step 6: Final answer
    x = 79,485.90

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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.