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Finding the Fourth Proportional to 83,438.94, 115,128.48 and 47,640.60

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Solution

The fourth proportional to 83,438.94, 115,128.48 and 47,640.60 is: 65,734.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,438.94 : 115,128.48 = 47,640.60 : x
  2. Step 2: Convert to fraction form
    83,438.94/115,128.48 = 47,640.60/x
  3. Step 3: Cross multiply
    83,438.94x = 115,128.48 × 47,640.60
  4. Step 4: Simplify right side
    83,438.94x = 5,484,789,864.29
  5. Step 5: Solve for x
    x = 5,484,789,864.29/83,438.94
  6. Step 6: Final answer
    x = 65,734.17

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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.