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Finding the Fourth Proportional to 51,855.60, 77,821.80 and 20,713.20

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Solution

The fourth proportional to 51,855.60, 77,821.80 and 20,713.20 is: 31,085.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,855.60 : 77,821.80 = 20,713.20 : x
  2. Step 2: Convert to fraction form
    51,855.60/77,821.80 = 20,713.20/x
  3. Step 3: Cross multiply
    51,855.60x = 77,821.80 × 20,713.20
  4. Step 4: Simplify right side
    51,855.60x = 1,611,938,507.76
  5. Step 5: Solve for x
    x = 1,611,938,507.76/51,855.60
  6. Step 6: Final answer
    x = 31,085.14

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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.