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Finding the Fourth Proportional to 83,102.36, 124,669.86 and 30,512.30

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Solution

The fourth proportional to 83,102.36, 124,669.86 and 30,512.30 is: 45,774.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,102.36 : 124,669.86 = 30,512.30 : x
  2. Step 2: Convert to fraction form
    83,102.36/124,669.86 = 30,512.30/x
  3. Step 3: Cross multiply
    83,102.36x = 124,669.86 × 30,512.30
  4. Step 4: Simplify right side
    83,102.36x = 3,803,964,169.28
  5. Step 5: Solve for x
    x = 3,803,964,169.28/83,102.36
  6. Step 6: Final answer
    x = 45,774.44

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1.5x scale

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.