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Finding the Fourth Proportional to 130,986, 180,760.68 and 71,370

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Solution

The fourth proportional to 130,986, 180,760.68 and 71,370 is: 98,490.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,986 : 180,760.68 = 71,370 : x
  2. Step 2: Convert to fraction form
    130,986/180,760.68 = 71,370/x
  3. Step 3: Cross multiply
    130,986x = 180,760.68 × 71,370
  4. Step 4: Simplify right side
    130,986x = 12,900,889,731.60
  5. Step 5: Solve for x
    x = 12,900,889,731.60/130,986
  6. Step 6: Final answer
    x = 98,490.60

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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.