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Finding the Fourth Proportional to 205,125.20, 307,716.60 and 64,869.20

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Solution

The fourth proportional to 205,125.20, 307,716.60 and 64,869.20 is: 97,312.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,125.20 : 307,716.60 = 64,869.20 : x
  2. Step 2: Convert to fraction form
    205,125.20/307,716.60 = 64,869.20/x
  3. Step 3: Cross multiply
    205,125.20x = 307,716.60 × 64,869.20
  4. Step 4: Simplify right side
    205,125.20x = 19,961,329,668.72
  5. Step 5: Solve for x
    x = 19,961,329,668.72/205,125.20
  6. Step 6: Final answer
    x = 97,312.91

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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.