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Finding the Fourth Proportional to 209,877, 289,631.24 and 119,237.93

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Solution

The fourth proportional to 209,877, 289,631.24 and 119,237.93 is: 164,548.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,877 : 289,631.24 = 119,237.93 : x
  2. Step 2: Convert to fraction form
    209,877/289,631.24 = 119,237.93/x
  3. Step 3: Cross multiply
    209,877x = 289,631.24 × 119,237.93
  4. Step 4: Simplify right side
    209,877x = 34,535,029,520.93
  5. Step 5: Solve for x
    x = 34,535,029,520.93/209,877
  6. Step 6: Final answer
    x = 164,548.90

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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.