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Finding the Fourth Proportional to 112,140.84, 154,753.50 and 61,839.84

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Solution

The fourth proportional to 112,140.84, 154,753.50 and 61,839.84 is: 85,338.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,140.84 : 154,753.50 = 61,839.84 : x
  2. Step 2: Convert to fraction form
    112,140.84/154,753.50 = 61,839.84/x
  3. Step 3: Cross multiply
    112,140.84x = 154,753.50 × 61,839.84
  4. Step 4: Simplify right side
    112,140.84x = 9,569,931,679.44
  5. Step 5: Solve for x
    x = 9,569,931,679.44/112,140.84
  6. Step 6: Final answer
    x = 85,338.51

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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.