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Finding the Fourth Proportional to 83,400.54, 115,093.89 and 45,675.06

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Solution

The fourth proportional to 83,400.54, 115,093.89 and 45,675.06 is: 63,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,400.54 : 115,093.89 = 45,675.06 : x
  2. Step 2: Convert to fraction form
    83,400.54/115,093.89 = 45,675.06/x
  3. Step 3: Cross multiply
    83,400.54x = 115,093.89 × 45,675.06
  4. Step 4: Simplify right side
    83,400.54x = 5,256,920,331.38
  5. Step 5: Solve for x
    x = 5,256,920,331.38/83,400.54
  6. Step 6: Final answer
    x = 63,032.21

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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.