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Finding the Fourth Proportional to 70,643.20, 105,926.40 and 26,268.16

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Solution

The fourth proportional to 70,643.20, 105,926.40 and 26,268.16 is: 39,387.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,643.20 : 105,926.40 = 26,268.16 : x
  2. Step 2: Convert to fraction form
    70,643.20/105,926.40 = 26,268.16/x
  3. Step 3: Cross multiply
    70,643.20x = 105,926.40 × 26,268.16
  4. Step 4: Simplify right side
    70,643.20x = 2,782,491,623.42
  5. Step 5: Solve for x
    x = 2,782,491,623.42/70,643.20
  6. Step 6: Final answer
    x = 39,387.96

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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.