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Finding the Fourth Proportional to 70,098.90, 105,149.84 and 25,123.20

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Solution

The fourth proportional to 70,098.90, 105,149.84 and 25,123.20 is: 37,685.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098.90 : 105,149.84 = 25,123.20 : x
  2. Step 2: Convert to fraction form
    70,098.90/105,149.84 = 25,123.20/x
  3. Step 3: Cross multiply
    70,098.90x = 105,149.84 × 25,123.20
  4. Step 4: Simplify right side
    70,098.90x = 2,641,700,460.29
  5. Step 5: Solve for x
    x = 2,641,700,460.29/70,098.90
  6. Step 6: Final answer
    x = 37,685.33

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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.