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Finding the Fourth Proportional to 83,398.50, 115,090.29 and 45,673.38

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Solution

The fourth proportional to 83,398.50, 115,090.29 and 45,673.38 is: 63,029.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,398.50 : 115,090.29 = 45,673.38 : x
  2. Step 2: Convert to fraction form
    83,398.50/115,090.29 = 45,673.38/x
  3. Step 3: Cross multiply
    83,398.50x = 115,090.29 × 45,673.38
  4. Step 4: Simplify right side
    83,398.50x = 5,256,562,549.48
  5. Step 5: Solve for x
    x = 5,256,562,549.48/83,398.50
  6. Step 6: Final answer
    x = 63,029.46

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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.