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Finding the Fourth Proportional to 140,281.61, 193,588.61 and 76,619.54

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Solution

The fourth proportional to 140,281.61, 193,588.61 and 76,619.54 is: 105,734.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,281.61 : 193,588.61 = 76,619.54 : x
  2. Step 2: Convert to fraction form
    140,281.61/193,588.61 = 76,619.54/x
  3. Step 3: Cross multiply
    140,281.61x = 193,588.61 × 76,619.54
  4. Step 4: Simplify right side
    140,281.61x = 14,832,670,348.31
  5. Step 5: Solve for x
    x = 14,832,670,348.31/140,281.61
  6. Step 6: Final answer
    x = 105,734.96

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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.