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Finding the Fourth Proportional to 138,196.52, 206,962.58 and 78,852.28

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Solution

The fourth proportional to 138,196.52, 206,962.58 and 78,852.28 is: 118,088.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,196.52 : 206,962.58 = 78,852.28 : x
  2. Step 2: Convert to fraction form
    138,196.52/206,962.58 = 78,852.28/x
  3. Step 3: Cross multiply
    138,196.52x = 206,962.58 × 78,852.28
  4. Step 4: Simplify right side
    138,196.52x = 16,319,471,307.68
  5. Step 5: Solve for x
    x = 16,319,471,307.68/138,196.52
  6. Step 6: Final answer
    x = 118,088.87

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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.