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Finding the Fourth Proportional to 162,796.80, 243,806.40 and 99,811.20

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Solution

The fourth proportional to 162,796.80, 243,806.40 and 99,811.20 is: 149,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,796.80 : 243,806.40 = 99,811.20 : x
  2. Step 2: Convert to fraction form
    162,796.80/243,806.40 = 99,811.20/x
  3. Step 3: Cross multiply
    162,796.80x = 243,806.40 × 99,811.20
  4. Step 4: Simplify right side
    162,796.80x = 24,334,609,351.68
  5. Step 5: Solve for x
    x = 24,334,609,351.68/162,796.80
  6. Step 6: Final answer
    x = 149,478.43

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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.