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Finding the Fourth Proportional to 162,778.80, 243,779.40 and 99,793.20

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Solution

The fourth proportional to 162,778.80, 243,779.40 and 99,793.20 is: 149,451.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,778.80 : 243,779.40 = 99,793.20 : x
  2. Step 2: Convert to fraction form
    162,778.80/243,779.40 = 99,793.20/x
  3. Step 3: Cross multiply
    162,778.80x = 243,779.40 × 99,793.20
  4. Step 4: Simplify right side
    162,778.80x = 24,327,526,420.08
  5. Step 5: Solve for x
    x = 24,327,526,420.08/162,778.80
  6. Step 6: Final answer
    x = 149,451.44

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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.