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Finding the Fourth Proportional to 140,146.80, 193,403.12 and 76,486

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Solution

The fourth proportional to 140,146.80, 193,403.12 and 76,486 is: 105,550.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,146.80 : 193,403.12 = 76,486 : x
  2. Step 2: Convert to fraction form
    140,146.80/193,403.12 = 76,486/x
  3. Step 3: Cross multiply
    140,146.80x = 193,403.12 × 76,486
  4. Step 4: Simplify right side
    140,146.80x = 14,792,631,036.32
  5. Step 5: Solve for x
    x = 14,792,631,036.32/140,146.80
  6. Step 6: Final answer
    x = 105,550.97

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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.