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Finding the Fourth Proportional to 83,236.84, 124,851.95 and 45,871

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Solution

The fourth proportional to 83,236.84, 124,851.95 and 45,871 is: 68,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,236.84 : 124,851.95 = 45,871 : x
  2. Step 2: Convert to fraction form
    83,236.84/124,851.95 = 45,871/x
  3. Step 3: Cross multiply
    83,236.84x = 124,851.95 × 45,871
  4. Step 4: Simplify right side
    83,236.84x = 5,727,083,798.45
  5. Step 5: Solve for x
    x = 5,727,083,798.45/83,236.84
  6. Step 6: Final answer
    x = 68,804.68

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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.