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Finding the Fourth Proportional to 83,625.78, 115,403.70 and 47,816.56

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Solution

The fourth proportional to 83,625.78, 115,403.70 and 47,816.56 is: 65,986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,625.78 : 115,403.70 = 47,816.56 : x
  2. Step 2: Convert to fraction form
    83,625.78/115,403.70 = 47,816.56/x
  3. Step 3: Cross multiply
    83,625.78x = 115,403.70 × 47,816.56
  4. Step 4: Simplify right side
    83,625.78x = 5,518,208,268.84
  5. Step 5: Solve for x
    x = 5,518,208,268.84/83,625.78
  6. Step 6: Final answer
    x = 65,986.92

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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.