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Finding the Fourth Proportional to 70,436.90, 105,764.70 and 40,912.40

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Solution

The fourth proportional to 70,436.90, 105,764.70 and 40,912.40 is: 61,432.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,436.90 : 105,764.70 = 40,912.40 : x
  2. Step 2: Convert to fraction form
    70,436.90/105,764.70 = 40,912.40/x
  3. Step 3: Cross multiply
    70,436.90x = 105,764.70 × 40,912.40
  4. Step 4: Simplify right side
    70,436.90x = 4,327,087,712.28
  5. Step 5: Solve for x
    x = 4,327,087,712.28/70,436.90
  6. Step 6: Final answer
    x = 61,432.11

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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.