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Finding the Fourth Proportional to 152,101.52, 209,945.04 and 98,388.80

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Solution

The fourth proportional to 152,101.52, 209,945.04 and 98,388.80 is: 135,805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,101.52 : 209,945.04 = 98,388.80 : x
  2. Step 2: Convert to fraction form
    152,101.52/209,945.04 = 98,388.80/x
  3. Step 3: Cross multiply
    152,101.52x = 209,945.04 × 98,388.80
  4. Step 4: Simplify right side
    152,101.52x = 20,656,240,551.55
  5. Step 5: Solve for x
    x = 20,656,240,551.55/152,101.52
  6. Step 6: Final answer
    x = 135,805.62

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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.