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Finding the Fourth Proportional to 140,146, 193,405.58 and 76,487.88

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Solution

The fourth proportional to 140,146, 193,405.58 and 76,487.88 is: 105,555.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,146 : 193,405.58 = 76,487.88 : x
  2. Step 2: Convert to fraction form
    140,146/193,405.58 = 76,487.88/x
  3. Step 3: Cross multiply
    140,146x = 193,405.58 × 76,487.88
  4. Step 4: Simplify right side
    140,146x = 14,793,182,794.37
  5. Step 5: Solve for x
    x = 14,793,182,794.37/140,146
  6. Step 6: Final answer
    x = 105,555.51

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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.