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Finding the Fourth Proportional to 137,751, 190,081.17 and 77,307.78

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Solution

The fourth proportional to 137,751, 190,081.17 and 77,307.78 is: 106,676.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,751 : 190,081.17 = 77,307.78 : x
  2. Step 2: Convert to fraction form
    137,751/190,081.17 = 77,307.78/x
  3. Step 3: Cross multiply
    137,751x = 190,081.17 × 77,307.78
  4. Step 4: Simplify right side
    137,751x = 14,694,753,272.50
  5. Step 5: Solve for x
    x = 14,694,753,272.50/137,751
  6. Step 6: Final answer
    x = 106,676.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.