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Finding the Fourth Proportional to 102,100.64, 153,138.80 and 27,226.40

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Solution

The fourth proportional to 102,100.64, 153,138.80 and 27,226.40 is: 40,836.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,100.64 : 153,138.80 = 27,226.40 : x
  2. Step 2: Convert to fraction form
    102,100.64/153,138.80 = 27,226.40/x
  3. Step 3: Cross multiply
    102,100.64x = 153,138.80 × 27,226.40
  4. Step 4: Simplify right side
    102,100.64x = 4,169,418,224.32
  5. Step 5: Solve for x
    x = 4,169,418,224.32/102,100.64
  6. Step 6: Final answer
    x = 40,836.36

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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.