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Finding the Fourth Proportional to 70,512.96, 105,863.28 and 40,952

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Solution

The fourth proportional to 70,512.96, 105,863.28 and 40,952 is: 61,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,512.96 : 105,863.28 = 40,952 : x
  2. Step 2: Convert to fraction form
    70,512.96/105,863.28 = 40,952/x
  3. Step 3: Cross multiply
    70,512.96x = 105,863.28 × 40,952
  4. Step 4: Simplify right side
    70,512.96x = 4,335,313,042.56
  5. Step 5: Solve for x
    x = 4,335,313,042.56/70,512.96
  6. Step 6: Final answer
    x = 61,482.50

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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.