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Finding the Fourth Proportional to 205,863.18, 308,580.69 and 79,590.16

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Solution

The fourth proportional to 205,863.18, 308,580.69 and 79,590.16 is: 119,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,863.18 : 308,580.69 = 79,590.16 : x
  2. Step 2: Convert to fraction form
    205,863.18/308,580.69 = 79,590.16/x
  3. Step 3: Cross multiply
    205,863.18x = 308,580.69 × 79,590.16
  4. Step 4: Simplify right side
    205,863.18x = 24,559,986,490.01
  5. Step 5: Solve for x
    x = 24,559,986,490.01/205,863.18
  6. Step 6: Final answer
    x = 119,302.47

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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.