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Finding the Fourth Proportional to 56,100, 77,419.68 and 30,951.12

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Solution

The fourth proportional to 56,100, 77,419.68 and 30,951.12 is: 42,713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,100 : 77,419.68 = 30,951.12 : x
  2. Step 2: Convert to fraction form
    56,100/77,419.68 = 30,951.12/x
  3. Step 3: Cross multiply
    56,100x = 77,419.68 × 30,951.12
  4. Step 4: Simplify right side
    56,100x = 2,396,225,806.04
  5. Step 5: Solve for x
    x = 2,396,225,806.04/56,100
  6. Step 6: Final answer
    x = 42,713.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.