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Finding the Fourth Proportional to 100,076.16, 138,098.88 and 55,364.16

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Solution

The fourth proportional to 100,076.16, 138,098.88 and 55,364.16 is: 76,399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,076.16 : 138,098.88 = 55,364.16 : x
  2. Step 2: Convert to fraction form
    100,076.16/138,098.88 = 55,364.16/x
  3. Step 3: Cross multiply
    100,076.16x = 138,098.88 × 55,364.16
  4. Step 4: Simplify right side
    100,076.16x = 7,645,728,488.14
  5. Step 5: Solve for x
    x = 7,645,728,488.14/100,076.16
  6. Step 6: Final answer
    x = 76,399.10

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1.5x scale

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.