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Finding the Fourth Proportional to 202,461.30, 279,391.24 and 111,815.32

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Solution

The fourth proportional to 202,461.30, 279,391.24 and 111,815.32 is: 154,302.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,461.30 : 279,391.24 = 111,815.32 : x
  2. Step 2: Convert to fraction form
    202,461.30/279,391.24 = 111,815.32/x
  3. Step 3: Cross multiply
    202,461.30x = 279,391.24 × 111,815.32
  4. Step 4: Simplify right side
    202,461.30x = 31,240,220,905.80
  5. Step 5: Solve for x
    x = 31,240,220,905.80/202,461.30
  6. Step 6: Final answer
    x = 154,302.18

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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.