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Finding the Fourth Proportional to 57,647.40, 86,479.20 and 18,200.40

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Solution

The fourth proportional to 57,647.40, 86,479.20 and 18,200.40 is: 27,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,647.40 : 86,479.20 = 18,200.40 : x
  2. Step 2: Convert to fraction form
    57,647.40/86,479.20 = 18,200.40/x
  3. Step 3: Cross multiply
    57,647.40x = 86,479.20 × 18,200.40
  4. Step 4: Simplify right side
    57,647.40x = 1,573,956,031.68
  5. Step 5: Solve for x
    x = 1,573,956,031.68/57,647.40
  6. Step 6: Final answer
    x = 27,303.16

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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.