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Finding the Fourth Proportional to 74,891.40, 112,305.86 and 30,488

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Solution

The fourth proportional to 74,891.40, 112,305.86 and 30,488 is: 45,719.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,891.40 : 112,305.86 = 30,488 : x
  2. Step 2: Convert to fraction form
    74,891.40/112,305.86 = 30,488/x
  3. Step 3: Cross multiply
    74,891.40x = 112,305.86 × 30,488
  4. Step 4: Simplify right side
    74,891.40x = 3,423,981,059.68
  5. Step 5: Solve for x
    x = 3,423,981,059.68/74,891.40
  6. Step 6: Final answer
    x = 45,719.28

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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.