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Finding the Fourth Proportional to 51,392.16, 77,101.68 and 21,811.20

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Solution

The fourth proportional to 51,392.16, 77,101.68 and 21,811.20 is: 32,722.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,392.16 : 77,101.68 = 21,811.20 : x
  2. Step 2: Convert to fraction form
    51,392.16/77,101.68 = 21,811.20/x
  3. Step 3: Cross multiply
    51,392.16x = 77,101.68 × 21,811.20
  4. Step 4: Simplify right side
    51,392.16x = 1,681,680,162.82
  5. Step 5: Solve for x
    x = 1,681,680,162.82/51,392.16
  6. Step 6: Final answer
    x = 32,722.50

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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.