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Finding the Fourth Proportional to 70,540.80, 105,812.16 and 26,150.40

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Solution

The fourth proportional to 70,540.80, 105,812.16 and 26,150.40 is: 39,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,540.80 : 105,812.16 = 26,150.40 : x
  2. Step 2: Convert to fraction form
    70,540.80/105,812.16 = 26,150.40/x
  3. Step 3: Cross multiply
    70,540.80x = 105,812.16 × 26,150.40
  4. Step 4: Simplify right side
    70,540.80x = 2,767,030,308.86
  5. Step 5: Solve for x
    x = 2,767,030,308.86/70,540.80
  6. Step 6: Final answer
    x = 39,225.96

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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.