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Finding the Fourth Proportional to 202,152.90, 302,974.20 and 102,340.65

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Solution

The fourth proportional to 202,152.90, 302,974.20 and 102,340.65 is: 153,381.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,152.90 : 302,974.20 = 102,340.65 : x
  2. Step 2: Convert to fraction form
    202,152.90/302,974.20 = 102,340.65/x
  3. Step 3: Cross multiply
    202,152.90x = 302,974.20 × 102,340.65
  4. Step 4: Simplify right side
    202,152.90x = 31,006,576,561.23
  5. Step 5: Solve for x
    x = 31,006,576,561.23/202,152.90
  6. Step 6: Final answer
    x = 153,381.80

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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.