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Finding the Fourth Proportional to 70,708.56, 97,575.75 and 40,084.50

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Solution

The fourth proportional to 70,708.56, 97,575.75 and 40,084.50 is: 55,315.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,708.56 : 97,575.75 = 40,084.50 : x
  2. Step 2: Convert to fraction form
    70,708.56/97,575.75 = 40,084.50/x
  3. Step 3: Cross multiply
    70,708.56x = 97,575.75 × 40,084.50
  4. Step 4: Simplify right side
    70,708.56x = 3,911,275,150.88
  5. Step 5: Solve for x
    x = 3,911,275,150.88/70,708.56
  6. Step 6: Final answer
    x = 55,315.44

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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.