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Finding the Fourth Proportional to 131,987.92, 197,989.98 and 53,102.08

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Solution

The fourth proportional to 131,987.92, 197,989.98 and 53,102.08 is: 79,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,987.92 : 197,989.98 = 53,102.08 : x
  2. Step 2: Convert to fraction form
    131,987.92/197,989.98 = 53,102.08/x
  3. Step 3: Cross multiply
    131,987.92x = 197,989.98 × 53,102.08
  4. Step 4: Simplify right side
    131,987.92x = 10,513,679,757.16
  5. Step 5: Solve for x
    x = 10,513,679,757.16/131,987.92
  6. Step 6: Final answer
    x = 79,656.38

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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.