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Finding the Fourth Proportional to 83,436.94, 115,125.72 and 47,638.60

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Solution

The fourth proportional to 83,436.94, 115,125.72 and 47,638.60 is: 65,731.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,436.94 : 115,125.72 = 47,638.60 : x
  2. Step 2: Convert to fraction form
    83,436.94/115,125.72 = 47,638.60/x
  3. Step 3: Cross multiply
    83,436.94x = 115,125.72 × 47,638.60
  4. Step 4: Simplify right side
    83,436.94x = 5,484,428,124.79
  5. Step 5: Solve for x
    x = 5,484,428,124.79/83,436.94
  6. Step 6: Final answer
    x = 65,731.41

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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.