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Finding the Fourth Proportional to 109,048.16, 150,435.92 and 63,728

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Solution

The fourth proportional to 109,048.16, 150,435.92 and 63,728 is: 87,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,048.16 : 150,435.92 = 63,728 : x
  2. Step 2: Convert to fraction form
    109,048.16/150,435.92 = 63,728/x
  3. Step 3: Cross multiply
    109,048.16x = 150,435.92 × 63,728
  4. Step 4: Simplify right side
    109,048.16x = 9,586,980,309.76
  5. Step 5: Solve for x
    x = 9,586,980,309.76/109,048.16
  6. Step 6: Final answer
    x = 87,915.10

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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.