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Finding the Fourth Proportional to 209,732.99, 289,307.70 and 148,410.11

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Solution

The fourth proportional to 209,732.99, 289,307.70 and 148,410.11 is: 204,718.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,732.99 : 289,307.70 = 148,410.11 : x
  2. Step 2: Convert to fraction form
    209,732.99/289,307.70 = 148,410.11/x
  3. Step 3: Cross multiply
    209,732.99x = 289,307.70 × 148,410.11
  4. Step 4: Simplify right side
    209,732.99x = 42,936,186,134.31
  5. Step 5: Solve for x
    x = 42,936,186,134.31/209,732.99
  6. Step 6: Final answer
    x = 204,718.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.