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Finding the Fourth Proportional to 75,280.31, 112,901.56 and 30,919.31

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Solution

The fourth proportional to 75,280.31, 112,901.56 and 30,919.31 is: 46,371.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,280.31 : 112,901.56 = 30,919.31 : x
  2. Step 2: Convert to fraction form
    75,280.31/112,901.56 = 30,919.31/x
  3. Step 3: Cross multiply
    75,280.31x = 112,901.56 × 30,919.31
  4. Step 4: Simplify right side
    75,280.31x = 3,490,837,691.32
  5. Step 5: Solve for x
    x = 3,490,837,691.32/75,280.31
  6. Step 6: Final answer
    x = 46,371.19

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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.