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Finding the Fourth Proportional to 165,210.10, 247,815.15 and 156,680.80

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Solution

The fourth proportional to 165,210.10, 247,815.15 and 156,680.80 is: 235,021.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,210.10 : 247,815.15 = 156,680.80 : x
  2. Step 2: Convert to fraction form
    165,210.10/247,815.15 = 156,680.80/x
  3. Step 3: Cross multiply
    165,210.10x = 247,815.15 × 156,680.80
  4. Step 4: Simplify right side
    165,210.10x = 38,827,875,954.12
  5. Step 5: Solve for x
    x = 38,827,875,954.12/165,210.10
  6. Step 6: Final answer
    x = 235,021.20

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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.