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Finding the Fourth Proportional to 202,661.63, 302,508.41 and 178,720.66

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Solution

The fourth proportional to 202,661.63, 302,508.41 and 178,720.66 is: 266,772.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,661.63 : 302,508.41 = 178,720.66 : x
  2. Step 2: Convert to fraction form
    202,661.63/302,508.41 = 178,720.66/x
  3. Step 3: Cross multiply
    202,661.63x = 302,508.41 × 178,720.66
  4. Step 4: Simplify right side
    202,661.63x = 54,064,502,175.28
  5. Step 5: Solve for x
    x = 54,064,502,175.28/202,661.63
  6. Step 6: Final answer
    x = 266,772.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.