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Finding the Fourth Proportional to 131,270.40, 197,002.80 and 86,882.40

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Solution

The fourth proportional to 131,270.40, 197,002.80 and 86,882.40 is: 130,387.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,270.40 : 197,002.80 = 86,882.40 : x
  2. Step 2: Convert to fraction form
    131,270.40/197,002.80 = 86,882.40/x
  3. Step 3: Cross multiply
    131,270.40x = 197,002.80 × 86,882.40
  4. Step 4: Simplify right side
    131,270.40x = 17,116,076,070.72
  5. Step 5: Solve for x
    x = 17,116,076,070.72/131,270.40
  6. Step 6: Final answer
    x = 130,387.93

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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.