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Finding the Fourth Proportional to 51,921.60, 77,920.80 and 20,779.20

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Solution

The fourth proportional to 51,921.60, 77,920.80 and 20,779.20 is: 31,184.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,921.60 : 77,920.80 = 20,779.20 : x
  2. Step 2: Convert to fraction form
    51,921.60/77,920.80 = 20,779.20/x
  3. Step 3: Cross multiply
    51,921.60x = 77,920.80 × 20,779.20
  4. Step 4: Simplify right side
    51,921.60x = 1,619,131,887.36
  5. Step 5: Solve for x
    x = 1,619,131,887.36/51,921.60
  6. Step 6: Final answer
    x = 31,184.17

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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.