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Finding the Fourth Proportional to 84,044.46, 115,978.40 and 45,803.22

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Solution

The fourth proportional to 84,044.46, 115,978.40 and 45,803.22 is: 63,206.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,044.46 : 115,978.40 = 45,803.22 : x
  2. Step 2: Convert to fraction form
    84,044.46/115,978.40 = 45,803.22/x
  3. Step 3: Cross multiply
    84,044.46x = 115,978.40 × 45,803.22
  4. Step 4: Simplify right side
    84,044.46x = 5,312,184,170.45
  5. Step 5: Solve for x
    x = 5,312,184,170.45/84,044.46
  6. Step 6: Final answer
    x = 63,206.83

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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.