Home / 205,707.30-284,147.10-157,878.42

Finding the Fourth Proportional to 205,707.30, 284,147.10 and 157,878.42

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Solution

The fourth proportional to 205,707.30, 284,147.10 and 157,878.42 is: 218,080.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,707.30 : 284,147.10 = 157,878.42 : x
  2. Step 2: Convert to fraction form
    205,707.30/284,147.10 = 157,878.42/x
  3. Step 3: Cross multiply
    205,707.30x = 284,147.10 × 157,878.42
  4. Step 4: Simplify right side
    205,707.30x = 44,860,695,195.58
  5. Step 5: Solve for x
    x = 44,860,695,195.58/205,707.30
  6. Step 6: Final answer
    x = 218,080.23

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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.