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Finding the Fourth Proportional to 70,338.42, 105,338.70 and 40,261.50

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Solution

The fourth proportional to 70,338.42, 105,338.70 and 40,261.50 is: 60,295.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,338.42 : 105,338.70 = 40,261.50 : x
  2. Step 2: Convert to fraction form
    70,338.42/105,338.70 = 40,261.50/x
  3. Step 3: Cross multiply
    70,338.42x = 105,338.70 × 40,261.50
  4. Step 4: Simplify right side
    70,338.42x = 4,241,094,070.05
  5. Step 5: Solve for x
    x = 4,241,094,070.05/70,338.42
  6. Step 6: Final answer
    x = 60,295.55

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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.