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Finding the Fourth Proportional to 127,670.63, 176,197.77 and 71,082

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Solution

The fourth proportional to 127,670.63, 176,197.77 and 71,082 is: 98,100.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,670.63 : 176,197.77 = 71,082 : x
  2. Step 2: Convert to fraction form
    127,670.63/176,197.77 = 71,082/x
  3. Step 3: Cross multiply
    127,670.63x = 176,197.77 × 71,082
  4. Step 4: Simplify right side
    127,670.63x = 12,524,489,887.14
  5. Step 5: Solve for x
    x = 12,524,489,887.14/127,670.63
  6. Step 6: Final answer
    x = 98,100.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.