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Finding the Fourth Proportional to 202,420, 279,364.20 and 117,537.06

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Solution

The fourth proportional to 202,420, 279,364.20 and 117,537.06 is: 162,215.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,420 : 279,364.20 = 117,537.06 : x
  2. Step 2: Convert to fraction form
    202,420/279,364.20 = 117,537.06/x
  3. Step 3: Cross multiply
    202,420x = 279,364.20 × 117,537.06
  4. Step 4: Simplify right side
    202,420x = 32,835,646,737.25
  5. Step 5: Solve for x
    x = 32,835,646,737.25/202,420
  6. Step 6: Final answer
    x = 162,215.43

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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.