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Finding the Fourth Proportional to 70,978.88, 97,951.32 and 39,148.64

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Solution

The fourth proportional to 70,978.88, 97,951.32 and 39,148.64 is: 54,025.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,978.88 : 97,951.32 = 39,148.64 : x
  2. Step 2: Convert to fraction form
    70,978.88/97,951.32 = 39,148.64/x
  3. Step 3: Cross multiply
    70,978.88x = 97,951.32 × 39,148.64
  4. Step 4: Simplify right side
    70,978.88x = 3,834,660,964.20
  5. Step 5: Solve for x
    x = 3,834,660,964.20/70,978.88
  6. Step 6: Final answer
    x = 54,025.38

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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.