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Finding the Fourth Proportional to 70,311.16, 105,432.66 and 25,958.80

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Solution

The fourth proportional to 70,311.16, 105,432.66 and 25,958.80 is: 38,925.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,311.16 : 105,432.66 = 25,958.80 : x
  2. Step 2: Convert to fraction form
    70,311.16/105,432.66 = 25,958.80/x
  3. Step 3: Cross multiply
    70,311.16x = 105,432.66 × 25,958.80
  4. Step 4: Simplify right side
    70,311.16x = 2,736,905,334.41
  5. Step 5: Solve for x
    x = 2,736,905,334.41/70,311.16
  6. Step 6: Final answer
    x = 38,925.62

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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.