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Finding the Fourth Proportional to 80,538.66, 120,807.99 and 30,607.02

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Solution

The fourth proportional to 80,538.66, 120,807.99 and 30,607.02 is: 45,910.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,538.66 : 120,807.99 = 30,607.02 : x
  2. Step 2: Convert to fraction form
    80,538.66/120,807.99 = 30,607.02/x
  3. Step 3: Cross multiply
    80,538.66x = 120,807.99 × 30,607.02
  4. Step 4: Simplify right side
    80,538.66x = 3,697,572,566.09
  5. Step 5: Solve for x
    x = 3,697,572,566.09/80,538.66
  6. Step 6: Final answer
    x = 45,910.53

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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.