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Finding the Fourth Proportional to 162,417.60, 243,856.80 and 100,209.60

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Solution

The fourth proportional to 162,417.60, 243,856.80 and 100,209.60 is: 150,456.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,417.60 : 243,856.80 = 100,209.60 : x
  2. Step 2: Convert to fraction form
    162,417.60/243,856.80 = 100,209.60/x
  3. Step 3: Cross multiply
    162,417.60x = 243,856.80 × 100,209.60
  4. Step 4: Simplify right side
    162,417.60x = 24,436,792,385.28
  5. Step 5: Solve for x
    x = 24,436,792,385.28/162,417.60
  6. Step 6: Final answer
    x = 150,456.55

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1.5x scale

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.