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Finding the Fourth Proportional to 131,835.74, 197,758.47 and 67,776.74

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Solution

The fourth proportional to 131,835.74, 197,758.47 and 67,776.74 is: 101,667.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,835.74 : 197,758.47 = 67,776.74 : x
  2. Step 2: Convert to fraction form
    131,835.74/197,758.47 = 67,776.74/x
  3. Step 3: Cross multiply
    131,835.74x = 197,758.47 × 67,776.74
  4. Step 4: Simplify right side
    131,835.74x = 13,403,424,403.99
  5. Step 5: Solve for x
    x = 13,403,424,403.99/131,835.74
  6. Step 6: Final answer
    x = 101,667.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.