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Finding the Fourth Proportional to 205,046.60, 307,613.10 and 64,819.40

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Solution

The fourth proportional to 205,046.60, 307,613.10 and 64,819.40 is: 97,242.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,046.60 : 307,613.10 = 64,819.40 : x
  2. Step 2: Convert to fraction form
    205,046.60/307,613.10 = 64,819.40/x
  3. Step 3: Cross multiply
    205,046.60x = 307,613.10 × 64,819.40
  4. Step 4: Simplify right side
    205,046.60x = 19,939,296,574.14
  5. Step 5: Solve for x
    x = 19,939,296,574.14/205,046.60
  6. Step 6: Final answer
    x = 97,242.76

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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.