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Finding the Fourth Proportional to 109,642.78, 151,307.40 and 59,341.78

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Solution

The fourth proportional to 109,642.78, 151,307.40 and 59,341.78 is: 81,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,642.78 : 151,307.40 = 59,341.78 : x
  2. Step 2: Convert to fraction form
    109,642.78/151,307.40 = 59,341.78/x
  3. Step 3: Cross multiply
    109,642.78x = 151,307.40 × 59,341.78
  4. Step 4: Simplify right side
    109,642.78x = 8,978,850,443.17
  5. Step 5: Solve for x
    x = 8,978,850,443.17/109,642.78
  6. Step 6: Final answer
    x = 81,891.85

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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.