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Finding the Fourth Proportional to 205,163.60, 307,774.20 and 64,907.60

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Solution

The fourth proportional to 205,163.60, 307,774.20 and 64,907.60 is: 97,370.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,163.60 : 307,774.20 = 64,907.60 : x
  2. Step 2: Convert to fraction form
    205,163.60/307,774.20 = 64,907.60/x
  3. Step 3: Cross multiply
    205,163.60x = 307,774.20 × 64,907.60
  4. Step 4: Simplify right side
    205,163.60x = 19,976,884,663.92
  5. Step 5: Solve for x
    x = 19,976,884,663.92/205,163.60
  6. Step 6: Final answer
    x = 97,370.51

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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.