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Finding the Fourth Proportional to 170,269.88, 234,978.64 and 105,774.66

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Solution

The fourth proportional to 170,269.88, 234,978.64 and 105,774.66 is: 145,972.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,269.88 : 234,978.64 = 105,774.66 : x
  2. Step 2: Convert to fraction form
    170,269.88/234,978.64 = 105,774.66/x
  3. Step 3: Cross multiply
    170,269.88x = 234,978.64 × 105,774.66
  4. Step 4: Simplify right side
    170,269.88x = 24,854,785,753.26
  5. Step 5: Solve for x
    x = 24,854,785,753.26/170,269.88
  6. Step 6: Final answer
    x = 145,972.89

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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.