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Finding the Fourth Proportional to 77,348.98, 116,023.57 and 21,189.59

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Solution

The fourth proportional to 77,348.98, 116,023.57 and 21,189.59 is: 31,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,348.98 : 116,023.57 = 21,189.59 : x
  2. Step 2: Convert to fraction form
    77,348.98/116,023.57 = 21,189.59/x
  3. Step 3: Cross multiply
    77,348.98x = 116,023.57 × 21,189.59
  4. Step 4: Simplify right side
    77,348.98x = 2,458,491,878.64
  5. Step 5: Solve for x
    x = 2,458,491,878.64/77,348.98
  6. Step 6: Final answer
    x = 31,784.41

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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.