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Finding the Fourth Proportional to 70,098.96, 105,139.80 and 28,546.32

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Solution

The fourth proportional to 70,098.96, 105,139.80 and 28,546.32 is: 42,815.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098.96 : 105,139.80 = 28,546.32 : x
  2. Step 2: Convert to fraction form
    70,098.96/105,139.80 = 28,546.32/x
  3. Step 3: Cross multiply
    70,098.96x = 105,139.80 × 28,546.32
  4. Step 4: Simplify right side
    70,098.96x = 3,001,354,375.54
  5. Step 5: Solve for x
    x = 3,001,354,375.54/70,098.96
  6. Step 6: Final answer
    x = 42,815.96

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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.