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Finding the Fourth Proportional to 51,857.60, 77,824.80 and 20,715.20

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Solution

The fourth proportional to 51,857.60, 77,824.80 and 20,715.20 is: 31,088.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,857.60 : 77,824.80 = 20,715.20 : x
  2. Step 2: Convert to fraction form
    51,857.60/77,824.80 = 20,715.20/x
  3. Step 3: Cross multiply
    51,857.60x = 77,824.80 × 20,715.20
  4. Step 4: Simplify right side
    51,857.60x = 1,612,156,296.96
  5. Step 5: Solve for x
    x = 1,612,156,296.96/51,857.60
  6. Step 6: Final answer
    x = 31,088.14

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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.