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Finding the Fourth Proportional to 138,092.33, 190,565.60 and 77,662.95

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Solution

The fourth proportional to 138,092.33, 190,565.60 and 77,662.95 is: 107,173.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,092.33 : 190,565.60 = 77,662.95 : x
  2. Step 2: Convert to fraction form
    138,092.33/190,565.60 = 77,662.95/x
  3. Step 3: Cross multiply
    138,092.33x = 190,565.60 × 77,662.95
  4. Step 4: Simplify right side
    138,092.33x = 14,799,886,664.52
  5. Step 5: Solve for x
    x = 14,799,886,664.52/138,092.33
  6. Step 6: Final answer
    x = 107,173.85

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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.