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Finding the Fourth Proportional to 70,422.93, 97,182 and 40,207.53

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Solution

The fourth proportional to 70,422.93, 97,182 and 40,207.53 is: 55,485.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,422.93 : 97,182 = 40,207.53 : x
  2. Step 2: Convert to fraction form
    70,422.93/97,182 = 40,207.53/x
  3. Step 3: Cross multiply
    70,422.93x = 97,182 × 40,207.53
  4. Step 4: Simplify right side
    70,422.93x = 3,907,448,180.46
  5. Step 5: Solve for x
    x = 3,907,448,180.46/70,422.93
  6. Step 6: Final answer
    x = 55,485.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.