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Finding the Fourth Proportional to 88,382, 121,967.18 and 48,638

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Solution

The fourth proportional to 88,382, 121,967.18 and 48,638 is: 67,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,382 : 121,967.18 = 48,638 : x
  2. Step 2: Convert to fraction form
    88,382/121,967.18 = 48,638/x
  3. Step 3: Cross multiply
    88,382x = 121,967.18 × 48,638
  4. Step 4: Simplify right side
    88,382x = 5,932,239,700.84
  5. Step 5: Solve for x
    x = 5,932,239,700.84/88,382
  6. Step 6: Final answer
    x = 67,120.45

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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.