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Finding the Fourth Proportional to 121,184.60, 181,779.42 and 32,438

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Solution

The fourth proportional to 121,184.60, 181,779.42 and 32,438 is: 48,657.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,184.60 : 181,779.42 = 32,438 : x
  2. Step 2: Convert to fraction form
    121,184.60/181,779.42 = 32,438/x
  3. Step 3: Cross multiply
    121,184.60x = 181,779.42 × 32,438
  4. Step 4: Simplify right side
    121,184.60x = 5,896,560,825.96
  5. Step 5: Solve for x
    x = 5,896,560,825.96/121,184.60
  6. Step 6: Final answer
    x = 48,657.67

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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.