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Finding the Fourth Proportional to 140,683.74, 194,144.13 and 77,027.46

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Solution

The fourth proportional to 140,683.74, 194,144.13 and 77,027.46 is: 106,298.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,683.74 : 194,144.13 = 77,027.46 : x
  2. Step 2: Convert to fraction form
    140,683.74/194,144.13 = 77,027.46/x
  3. Step 3: Cross multiply
    140,683.74x = 194,144.13 × 77,027.46
  4. Step 4: Simplify right side
    140,683.74x = 14,954,429,207.81
  5. Step 5: Solve for x
    x = 14,954,429,207.81/140,683.74
  6. Step 6: Final answer
    x = 106,298.21

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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.