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Finding the Fourth Proportional to 205,950.40, 308,868.49 and 99,403.71

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Solution

The fourth proportional to 205,950.40, 308,868.49 and 99,403.71 is: 149,078.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,950.40 : 308,868.49 = 99,403.71 : x
  2. Step 2: Convert to fraction form
    205,950.40/308,868.49 = 99,403.71/x
  3. Step 3: Cross multiply
    205,950.40x = 308,868.49 × 99,403.71
  4. Step 4: Simplify right side
    205,950.40x = 30,702,672,774.10
  5. Step 5: Solve for x
    x = 30,702,672,774.10/205,950.40
  6. Step 6: Final answer
    x = 149,078.00

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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.