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Finding the Fourth Proportional to 210,791.75, 316,188.16 and 86,132.75

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Solution

The fourth proportional to 210,791.75, 316,188.16 and 86,132.75 is: 129,199.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,791.75 : 316,188.16 = 86,132.75 : x
  2. Step 2: Convert to fraction form
    210,791.75/316,188.16 = 86,132.75/x
  3. Step 3: Cross multiply
    210,791.75x = 316,188.16 × 86,132.75
  4. Step 4: Simplify right side
    210,791.75x = 27,234,153,941.97
  5. Step 5: Solve for x
    x = 27,234,153,941.97/210,791.75
  6. Step 6: Final answer
    x = 129,199.34

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1.5x scale

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.