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Finding the Fourth Proportional to 205,201.14, 307,849.09 and 64,959.76

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Solution

The fourth proportional to 205,201.14, 307,849.09 and 64,959.76 is: 97,454.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,201.14 : 307,849.09 = 64,959.76 : x
  2. Step 2: Convert to fraction form
    205,201.14/307,849.09 = 64,959.76/x
  3. Step 3: Cross multiply
    205,201.14x = 307,849.09 × 64,959.76
  4. Step 4: Simplify right side
    205,201.14x = 19,997,803,002.62
  5. Step 5: Solve for x
    x = 19,997,803,002.62/205,201.14
  6. Step 6: Final answer
    x = 97,454.64

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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.