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Finding the Fourth Proportional to 140,357.40, 193,690.89 and 76,693.74

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Solution

The fourth proportional to 140,357.40, 193,690.89 and 76,693.74 is: 105,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,357.40 : 193,690.89 = 76,693.74 : x
  2. Step 2: Convert to fraction form
    140,357.40/193,690.89 = 76,693.74/x
  3. Step 3: Cross multiply
    140,357.40x = 193,690.89 × 76,693.74
  4. Step 4: Simplify right side
    140,357.40x = 14,854,878,758.03
  5. Step 5: Solve for x
    x = 14,854,878,758.03/140,357.40
  6. Step 6: Final answer
    x = 105,836.09

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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.