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Finding the Fourth Proportional to 91,809.78, 137,772.93 and 39,219.66

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Solution

The fourth proportional to 91,809.78, 137,772.93 and 39,219.66 is: 58,854.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,809.78 : 137,772.93 = 39,219.66 : x
  2. Step 2: Convert to fraction form
    91,809.78/137,772.93 = 39,219.66/x
  3. Step 3: Cross multiply
    91,809.78x = 137,772.93 × 39,219.66
  4. Step 4: Simplify right side
    91,809.78x = 5,403,407,471.80
  5. Step 5: Solve for x
    x = 5,403,407,471.80/91,809.78
  6. Step 6: Final answer
    x = 58,854.38

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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.