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Finding the Fourth Proportional to 202,782.15, 279,834.08 and 112,135.59

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Solution

The fourth proportional to 202,782.15, 279,834.08 and 112,135.59 is: 154,744.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,782.15 : 279,834.08 = 112,135.59 : x
  2. Step 2: Convert to fraction form
    202,782.15/279,834.08 = 112,135.59/x
  3. Step 3: Cross multiply
    202,782.15x = 279,834.08 × 112,135.59
  4. Step 4: Simplify right side
    202,782.15x = 31,379,359,102.23
  5. Step 5: Solve for x
    x = 31,379,359,102.23/202,782.15
  6. Step 6: Final answer
    x = 154,744.19

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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.