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Finding the Fourth Proportional to 83,999.83, 126,018.18 and 61,745.74

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Solution

The fourth proportional to 83,999.83, 126,018.18 and 61,745.74 is: 92,632.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,999.83 : 126,018.18 = 61,745.74 : x
  2. Step 2: Convert to fraction form
    83,999.83/126,018.18 = 61,745.74/x
  3. Step 3: Cross multiply
    83,999.83x = 126,018.18 × 61,745.74
  4. Step 4: Simplify right side
    83,999.83x = 7,781,085,462.51
  5. Step 5: Solve for x
    x = 7,781,085,462.51/83,999.83
  6. Step 6: Final answer
    x = 92,632.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.