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Finding the Fourth Proportional to 78,908.40, 118,261.80 and 32,108.40

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Solution

The fourth proportional to 78,908.40, 118,261.80 and 32,108.40 is: 48,121.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,908.40 : 118,261.80 = 32,108.40 : x
  2. Step 2: Convert to fraction form
    78,908.40/118,261.80 = 32,108.40/x
  3. Step 3: Cross multiply
    78,908.40x = 118,261.80 × 32,108.40
  4. Step 4: Simplify right side
    78,908.40x = 3,797,197,179.12
  5. Step 5: Solve for x
    x = 3,797,197,179.12/78,908.40
  6. Step 6: Final answer
    x = 48,121.58

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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.