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Finding the Fourth Proportional to 165,410.80, 247,970.40 and 98,780.20

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Solution

The fourth proportional to 165,410.80, 247,970.40 and 98,780.20 is: 148,083.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,410.80 : 247,970.40 = 98,780.20 : x
  2. Step 2: Convert to fraction form
    165,410.80/247,970.40 = 98,780.20/x
  3. Step 3: Cross multiply
    165,410.80x = 247,970.40 × 98,780.20
  4. Step 4: Simplify right side
    165,410.80x = 24,494,565,706.08
  5. Step 5: Solve for x
    x = 24,494,565,706.08/165,410.80
  6. Step 6: Final answer
    x = 148,083.23

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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.