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Finding the Fourth Proportional to 135,084, 186,427.44 and 75,479.52

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Solution

The fourth proportional to 135,084, 186,427.44 and 75,479.52 is: 104,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,084 : 186,427.44 = 75,479.52 : x
  2. Step 2: Convert to fraction form
    135,084/186,427.44 = 75,479.52/x
  3. Step 3: Cross multiply
    135,084x = 186,427.44 × 75,479.52
  4. Step 4: Simplify right side
    135,084x = 14,071,453,686.03
  5. Step 5: Solve for x
    x = 14,071,453,686.03/135,084
  6. Step 6: Final answer
    x = 104,168.17

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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.