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Finding the Fourth Proportional to 40,047.84, 55,236 and 35,515.84

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Solution

The fourth proportional to 40,047.84, 55,236 and 35,515.84 is: 48,985.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,047.84 : 55,236 = 35,515.84 : x
  2. Step 2: Convert to fraction form
    40,047.84/55,236 = 35,515.84/x
  3. Step 3: Cross multiply
    40,047.84x = 55,236 × 35,515.84
  4. Step 4: Simplify right side
    40,047.84x = 1,961,752,938.24
  5. Step 5: Solve for x
    x = 1,961,752,938.24/40,047.84
  6. Step 6: Final answer
    x = 48,985.24

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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.