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Finding the Fourth Proportional to 71,909.42, 107,779.41 and 32,420.30

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Solution

The fourth proportional to 71,909.42, 107,779.41 and 32,420.30 is: 48,592.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,909.42 : 107,779.41 = 32,420.30 : x
  2. Step 2: Convert to fraction form
    71,909.42/107,779.41 = 32,420.30/x
  3. Step 3: Cross multiply
    71,909.42x = 107,779.41 × 32,420.30
  4. Step 4: Simplify right side
    71,909.42x = 3,494,240,806.02
  5. Step 5: Solve for x
    x = 3,494,240,806.02/71,909.42
  6. Step 6: Final answer
    x = 48,592.25

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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.