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Finding the Fourth Proportional to 100,823.94, 139,135.42 and 55,502.06

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Solution

The fourth proportional to 100,823.94, 139,135.42 and 55,502.06 is: 76,591.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,823.94 : 139,135.42 = 55,502.06 : x
  2. Step 2: Convert to fraction form
    100,823.94/139,135.42 = 55,502.06/x
  3. Step 3: Cross multiply
    100,823.94x = 139,135.42 × 55,502.06
  4. Step 4: Simplify right side
    100,823.94x = 7,722,302,585.30
  5. Step 5: Solve for x
    x = 7,722,302,585.30/100,823.94
  6. Step 6: Final answer
    x = 76,591.95

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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.