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Finding the Fourth Proportional to 209,488.58, 314,388.77 and 102,929.73

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Solution

The fourth proportional to 209,488.58, 314,388.77 and 102,929.73 is: 154,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,488.58 : 314,388.77 = 102,929.73 : x
  2. Step 2: Convert to fraction form
    209,488.58/314,388.77 = 102,929.73/x
  3. Step 3: Cross multiply
    209,488.58x = 314,388.77 × 102,929.73
  4. Step 4: Simplify right side
    209,488.58x = 32,359,950,696.48
  5. Step 5: Solve for x
    x = 32,359,950,696.48/209,488.58
  6. Step 6: Final answer
    x = 154,471.20

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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.