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Finding the Fourth Proportional to 206,490.48, 285,117.40 and 158,668.40

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Solution

The fourth proportional to 206,490.48, 285,117.40 and 158,668.40 is: 219,085.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,490.48 : 285,117.40 = 158,668.40 : x
  2. Step 2: Convert to fraction form
    206,490.48/285,117.40 = 158,668.40/x
  3. Step 3: Cross multiply
    206,490.48x = 285,117.40 × 158,668.40
  4. Step 4: Simplify right side
    206,490.48x = 45,239,121,670.16
  5. Step 5: Solve for x
    x = 45,239,121,670.16/206,490.48
  6. Step 6: Final answer
    x = 219,085.75

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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.