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Finding the Fourth Proportional to 202,907.23, 280,101.65 and 121,264.29

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Solution

The fourth proportional to 202,907.23, 280,101.65 and 121,264.29 is: 167,398.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,907.23 : 280,101.65 = 121,264.29 : x
  2. Step 2: Convert to fraction form
    202,907.23/280,101.65 = 121,264.29/x
  3. Step 3: Cross multiply
    202,907.23x = 280,101.65 × 121,264.29
  4. Step 4: Simplify right side
    202,907.23x = 33,966,327,715.08
  5. Step 5: Solve for x
    x = 33,966,327,715.08/202,907.23
  6. Step 6: Final answer
    x = 167,398.31

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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.