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Finding the Fourth Proportional to 83,401.88, 115,094.38 and 45,161.46

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Solution

The fourth proportional to 83,401.88, 115,094.38 and 45,161.46 is: 62,322.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,401.88 : 115,094.38 = 45,161.46 : x
  2. Step 2: Convert to fraction form
    83,401.88/115,094.38 = 45,161.46/x
  3. Step 3: Cross multiply
    83,401.88x = 115,094.38 × 45,161.46
  4. Step 4: Simplify right side
    83,401.88x = 5,197,830,238.59
  5. Step 5: Solve for x
    x = 5,197,830,238.59/83,401.88
  6. Step 6: Final answer
    x = 62,322.70

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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.