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Finding the Fourth Proportional to 86,841.84, 130,258.68 and 36,219.96

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Solution

The fourth proportional to 86,841.84, 130,258.68 and 36,219.96 is: 54,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,841.84 : 130,258.68 = 36,219.96 : x
  2. Step 2: Convert to fraction form
    86,841.84/130,258.68 = 36,219.96/x
  3. Step 3: Cross multiply
    86,841.84x = 130,258.68 × 36,219.96
  4. Step 4: Simplify right side
    86,841.84x = 4,717,964,179.25
  5. Step 5: Solve for x
    x = 4,717,964,179.25/86,841.84
  6. Step 6: Final answer
    x = 54,328.24

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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.