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Finding the Fourth Proportional to 202,898.53, 280,089.65 and 121,255.59

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Solution

The fourth proportional to 202,898.53, 280,089.65 and 121,255.59 is: 167,386.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,898.53 : 280,089.65 = 121,255.59 : x
  2. Step 2: Convert to fraction form
    202,898.53/280,089.65 = 121,255.59/x
  3. Step 3: Cross multiply
    202,898.53x = 280,089.65 × 121,255.59
  4. Step 4: Simplify right side
    202,898.53x = 33,962,436,066.78
  5. Step 5: Solve for x
    x = 33,962,436,066.78/202,898.53
  6. Step 6: Final answer
    x = 167,386.31

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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.