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Finding the Fourth Proportional to 81,307.78, 121,961.69 and 53,599.30

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Solution

The fourth proportional to 81,307.78, 121,961.69 and 53,599.30 is: 80,398.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,307.78 : 121,961.69 = 53,599.30 : x
  2. Step 2: Convert to fraction form
    81,307.78/121,961.69 = 53,599.30/x
  3. Step 3: Cross multiply
    81,307.78x = 121,961.69 × 53,599.30
  4. Step 4: Simplify right side
    81,307.78x = 6,537,061,210.82
  5. Step 5: Solve for x
    x = 6,537,061,210.82/81,307.78
  6. Step 6: Final answer
    x = 80,398.96

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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.