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Finding the Fourth Proportional to 71,270, 98,352.84 and 42,976.88

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Solution

The fourth proportional to 71,270, 98,352.84 and 42,976.88 is: 59,308.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,270 : 98,352.84 = 42,976.88 : x
  2. Step 2: Convert to fraction form
    71,270/98,352.84 = 42,976.88/x
  3. Step 3: Cross multiply
    71,270x = 98,352.84 × 42,976.88
  4. Step 4: Simplify right side
    71,270x = 4,226,898,202.34
  5. Step 5: Solve for x
    x = 4,226,898,202.34/71,270
  6. Step 6: Final answer
    x = 59,308.24

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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.