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Finding the Fourth Proportional to 130,978.56, 196,476.48 and 47,930.88

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Solution

The fourth proportional to 130,978.56, 196,476.48 and 47,930.88 is: 71,899.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,978.56 : 196,476.48 = 47,930.88 : x
  2. Step 2: Convert to fraction form
    130,978.56/196,476.48 = 47,930.88/x
  3. Step 3: Cross multiply
    130,978.56x = 196,476.48 × 47,930.88
  4. Step 4: Simplify right side
    130,978.56x = 9,417,290,585.70
  5. Step 5: Solve for x
    x = 9,417,290,585.70/130,978.56
  6. Step 6: Final answer
    x = 71,899.48

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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.