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Finding the Fourth Proportional to 131,142.90, 196,811.55 and 86,754.90

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Solution

The fourth proportional to 131,142.90, 196,811.55 and 86,754.90 is: 130,196.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,142.90 : 196,811.55 = 86,754.90 : x
  2. Step 2: Convert to fraction form
    131,142.90/196,811.55 = 86,754.90/x
  3. Step 3: Cross multiply
    131,142.90x = 196,811.55 × 86,754.90
  4. Step 4: Simplify right side
    131,142.90x = 17,074,366,339.10
  5. Step 5: Solve for x
    x = 17,074,366,339.10/131,142.90
  6. Step 6: Final answer
    x = 130,196.65

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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.