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Finding the Fourth Proportional to 205,779.57, 310,211.73 and 192,063

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Solution

The fourth proportional to 205,779.57, 310,211.73 and 192,063 is: 289,534.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,779.57 : 310,211.73 = 192,063 : x
  2. Step 2: Convert to fraction form
    205,779.57/310,211.73 = 192,063/x
  3. Step 3: Cross multiply
    205,779.57x = 310,211.73 × 192,063
  4. Step 4: Simplify right side
    205,779.57x = 59,580,195,498.99
  5. Step 5: Solve for x
    x = 59,580,195,498.99/205,779.57
  6. Step 6: Final answer
    x = 289,534.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.