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Finding the Fourth Proportional to 99,824.40, 149,693.40 and 40,640.40

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Solution

The fourth proportional to 99,824.40, 149,693.40 and 40,640.40 is: 60,943.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,824.40 : 149,693.40 = 40,640.40 : x
  2. Step 2: Convert to fraction form
    99,824.40/149,693.40 = 40,640.40/x
  3. Step 3: Cross multiply
    99,824.40x = 149,693.40 × 40,640.40
  4. Step 4: Simplify right side
    99,824.40x = 6,083,599,653.36
  5. Step 5: Solve for x
    x = 6,083,599,653.36/99,824.40
  6. Step 6: Final answer
    x = 60,943.01

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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.