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Finding the Fourth Proportional to 70,507.95, 105,855.78 and 40,947

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Solution

The fourth proportional to 70,507.95, 105,855.78 and 40,947 is: 61,475.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,507.95 : 105,855.78 = 40,947 : x
  2. Step 2: Convert to fraction form
    70,507.95/105,855.78 = 40,947/x
  3. Step 3: Cross multiply
    70,507.95x = 105,855.78 × 40,947
  4. Step 4: Simplify right side
    70,507.95x = 4,334,476,623.66
  5. Step 5: Solve for x
    x = 4,334,476,623.66/70,507.95
  6. Step 6: Final answer
    x = 61,475.01

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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.