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Finding the Fourth Proportional to 127,602, 176,090.76 and 71,013.42

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Solution

The fourth proportional to 127,602, 176,090.76 and 71,013.42 is: 97,998.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,602 : 176,090.76 = 71,013.42 : x
  2. Step 2: Convert to fraction form
    127,602/176,090.76 = 71,013.42/x
  3. Step 3: Cross multiply
    127,602x = 176,090.76 × 71,013.42
  4. Step 4: Simplify right side
    127,602x = 12,504,807,098.00
  5. Step 5: Solve for x
    x = 12,504,807,098.00/127,602
  6. Step 6: Final answer
    x = 97,998.52

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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.