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Finding the Fourth Proportional to 65,866.94, 98,782.78 and 18,479.20

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Solution

The fourth proportional to 65,866.94, 98,782.78 and 18,479.20 is: 27,713.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,866.94 : 98,782.78 = 18,479.20 : x
  2. Step 2: Convert to fraction form
    65,866.94/98,782.78 = 18,479.20/x
  3. Step 3: Cross multiply
    65,866.94x = 98,782.78 × 18,479.20
  4. Step 4: Simplify right side
    65,866.94x = 1,825,426,748.18
  5. Step 5: Solve for x
    x = 1,825,426,748.18/65,866.94
  6. Step 6: Final answer
    x = 27,713.85

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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.