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Finding the Fourth Proportional to 140,000.96, 193,197.10 and 76,340

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Solution

The fourth proportional to 140,000.96, 193,197.10 and 76,340 is: 105,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,000.96 : 193,197.10 = 76,340 : x
  2. Step 2: Convert to fraction form
    140,000.96/193,197.10 = 76,340/x
  3. Step 3: Cross multiply
    140,000.96x = 193,197.10 × 76,340
  4. Step 4: Simplify right side
    140,000.96x = 14,748,666,614
  5. Step 5: Solve for x
    x = 14,748,666,614/140,000.96
  6. Step 6: Final answer
    x = 105,346.90

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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.