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Finding the Fourth Proportional to 70,546.62, 105,681.47 and 40,902.15

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Solution

The fourth proportional to 70,546.62, 105,681.47 and 40,902.15 is: 61,272.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,546.62 : 105,681.47 = 40,902.15 : x
  2. Step 2: Convert to fraction form
    70,546.62/105,681.47 = 40,902.15/x
  3. Step 3: Cross multiply
    70,546.62x = 105,681.47 × 40,902.15
  4. Step 4: Simplify right side
    70,546.62x = 4,322,599,133.65
  5. Step 5: Solve for x
    x = 4,322,599,133.65/70,546.62
  6. Step 6: Final answer
    x = 61,272.94

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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.