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Finding the Fourth Proportional to 205,086.60, 307,629.90 and 64,888.20

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Solution

The fourth proportional to 205,086.60, 307,629.90 and 64,888.20 is: 97,332.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,086.60 : 307,629.90 = 64,888.20 : x
  2. Step 2: Convert to fraction form
    205,086.60/307,629.90 = 64,888.20/x
  3. Step 3: Cross multiply
    205,086.60x = 307,629.90 × 64,888.20
  4. Step 4: Simplify right side
    205,086.60x = 19,961,550,477.18
  5. Step 5: Solve for x
    x = 19,961,550,477.18/205,086.60
  6. Step 6: Final answer
    x = 97,332.30

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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.