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Finding the Fourth Proportional to 82,773.32, 124,178.50 and 30,182.81

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Solution

The fourth proportional to 82,773.32, 124,178.50 and 30,182.81 is: 45,280.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,773.32 : 124,178.50 = 30,182.81 : x
  2. Step 2: Convert to fraction form
    82,773.32/124,178.50 = 30,182.81/x
  3. Step 3: Cross multiply
    82,773.32x = 124,178.50 × 30,182.81
  4. Step 4: Simplify right side
    82,773.32x = 3,748,055,996.13
  5. Step 5: Solve for x
    x = 3,748,055,996.13/82,773.32
  6. Step 6: Final answer
    x = 45,280.97

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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.