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Finding the Fourth Proportional to 51,898.40, 77,732.40 and 20,717.60

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Solution

The fourth proportional to 51,898.40, 77,732.40 and 20,717.60 is: 31,030.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,898.40 : 77,732.40 = 20,717.60 : x
  2. Step 2: Convert to fraction form
    51,898.40/77,732.40 = 20,717.60/x
  3. Step 3: Cross multiply
    51,898.40x = 77,732.40 × 20,717.60
  4. Step 4: Simplify right side
    51,898.40x = 1,610,428,770.24
  5. Step 5: Solve for x
    x = 1,610,428,770.24/51,898.40
  6. Step 6: Final answer
    x = 31,030.41

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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.