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Finding the Fourth Proportional to 205,151.60, 307,756.20 and 64,895.60

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Solution

The fourth proportional to 205,151.60, 307,756.20 and 64,895.60 is: 97,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,151.60 : 307,756.20 = 64,895.60 : x
  2. Step 2: Convert to fraction form
    205,151.60/307,756.20 = 64,895.60/x
  3. Step 3: Cross multiply
    205,151.60x = 307,756.20 × 64,895.60
  4. Step 4: Simplify right side
    205,151.60x = 19,972,023,252.72
  5. Step 5: Solve for x
    x = 19,972,023,252.72/205,151.60
  6. Step 6: Final answer
    x = 97,352.51

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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.