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Finding the Fourth Proportional to 51,909.68, 77,886.84 and 16,860.08

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Solution

The fourth proportional to 51,909.68, 77,886.84 and 16,860.08 is: 25,297.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,909.68 : 77,886.84 = 16,860.08 : x
  2. Step 2: Convert to fraction form
    51,909.68/77,886.84 = 16,860.08/x
  3. Step 3: Cross multiply
    51,909.68x = 77,886.84 × 16,860.08
  4. Step 4: Simplify right side
    51,909.68x = 1,313,178,353.35
  5. Step 5: Solve for x
    x = 1,313,178,353.35/51,909.68
  6. Step 6: Final answer
    x = 25,297.37

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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.