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Finding the Fourth Proportional to 152,103.52, 209,947.80 and 98,390.80

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Solution

The fourth proportional to 152,103.52, 209,947.80 and 98,390.80 is: 135,808.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,103.52 : 209,947.80 = 98,390.80 : x
  2. Step 2: Convert to fraction form
    152,103.52/209,947.80 = 98,390.80/x
  3. Step 3: Cross multiply
    152,103.52x = 209,947.80 × 98,390.80
  4. Step 4: Simplify right side
    152,103.52x = 20,656,932,000.24
  5. Step 5: Solve for x
    x = 20,656,932,000.24/152,103.52
  6. Step 6: Final answer
    x = 135,808.38

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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.