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Finding the Fourth Proportional to 80,978.40, 121,431.15 and 31,041.90

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Solution

The fourth proportional to 80,978.40, 121,431.15 and 31,041.90 is: 46,548.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,978.40 : 121,431.15 = 31,041.90 : x
  2. Step 2: Convert to fraction form
    80,978.40/121,431.15 = 31,041.90/x
  3. Step 3: Cross multiply
    80,978.40x = 121,431.15 × 31,041.90
  4. Step 4: Simplify right side
    80,978.40x = 3,769,453,615.19
  5. Step 5: Solve for x
    x = 3,769,453,615.19/80,978.40
  6. Step 6: Final answer
    x = 46,548.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.