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Finding the Fourth Proportional to 202,642.90, 302,480.51 and 178,701.86

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Solution

The fourth proportional to 202,642.90, 302,480.51 and 178,701.86 is: 266,744.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,642.90 : 302,480.51 = 178,701.86 : x
  2. Step 2: Convert to fraction form
    202,642.90/302,480.51 = 178,701.86/x
  3. Step 3: Cross multiply
    202,642.90x = 302,480.51 × 178,701.86
  4. Step 4: Simplify right side
    202,642.90x = 54,053,829,613.44
  5. Step 5: Solve for x
    x = 54,053,829,613.44/202,642.90
  6. Step 6: Final answer
    x = 266,744.26

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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.