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Finding the Fourth Proportional to 70,086.87, 105,148.04 and 20,165.88

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Solution

The fourth proportional to 70,086.87, 105,148.04 and 20,165.88 is: 30,253.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,086.87 : 105,148.04 = 20,165.88 : x
  2. Step 2: Convert to fraction form
    70,086.87/105,148.04 = 20,165.88/x
  3. Step 3: Cross multiply
    70,086.87x = 105,148.04 × 20,165.88
  4. Step 4: Simplify right side
    70,086.87x = 2,120,402,656.05
  5. Step 5: Solve for x
    x = 2,120,402,656.05/70,086.87
  6. Step 6: Final answer
    x = 30,253.92

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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.