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Finding the Fourth Proportional to 202,148.33, 278,966.63 and 111,508.11

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Solution

The fourth proportional to 202,148.33, 278,966.63 and 111,508.11 is: 153,882.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,148.33 : 278,966.63 = 111,508.11 : x
  2. Step 2: Convert to fraction form
    202,148.33/278,966.63 = 111,508.11/x
  3. Step 3: Cross multiply
    202,148.33x = 278,966.63 × 111,508.11
  4. Step 4: Simplify right side
    202,148.33x = 31,107,041,943.14
  5. Step 5: Solve for x
    x = 31,107,041,943.14/202,148.33
  6. Step 6: Final answer
    x = 153,882.26

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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.