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Finding the Fourth Proportional to 84,134.28, 116,106.05 and 45,894

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Solution

The fourth proportional to 84,134.28, 116,106.05 and 45,894 is: 63,334.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,134.28 : 116,106.05 = 45,894 : x
  2. Step 2: Convert to fraction form
    84,134.28/116,106.05 = 45,894/x
  3. Step 3: Cross multiply
    84,134.28x = 116,106.05 × 45,894
  4. Step 4: Simplify right side
    84,134.28x = 5,328,571,058.70
  5. Step 5: Solve for x
    x = 5,328,571,058.70/84,134.28
  6. Step 6: Final answer
    x = 63,334.13

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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.