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Finding the Fourth Proportional to 86,902.88, 130,351.52 and 27,742.16

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Solution

The fourth proportional to 86,902.88, 130,351.52 and 27,742.16 is: 41,612.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,902.88 : 130,351.52 = 27,742.16 : x
  2. Step 2: Convert to fraction form
    86,902.88/130,351.52 = 27,742.16/x
  3. Step 3: Cross multiply
    86,902.88x = 130,351.52 × 27,742.16
  4. Step 4: Simplify right side
    86,902.88x = 3,616,232,724.08
  5. Step 5: Solve for x
    x = 3,616,232,724.08/86,902.88
  6. Step 6: Final answer
    x = 41,612.35

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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.