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Finding the Fourth Proportional to 140,337, 193,669.16 and 76,678.90

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Solution

The fourth proportional to 140,337, 193,669.16 and 76,678.90 is: 105,819.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,337 : 193,669.16 = 76,678.90 : x
  2. Step 2: Convert to fraction form
    140,337/193,669.16 = 76,678.90/x
  3. Step 3: Cross multiply
    140,337x = 193,669.16 × 76,678.90
  4. Step 4: Simplify right side
    140,337x = 14,850,337,285.16
  5. Step 5: Solve for x
    x = 14,850,337,285.16/140,337
  6. Step 6: Final answer
    x = 105,819.12

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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.