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Finding the Fourth Proportional to 206,897.60, 285,488.07 and 119,680.04

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Solution

The fourth proportional to 206,897.60, 285,488.07 and 119,680.04 is: 165,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,897.60 : 285,488.07 = 119,680.04 : x
  2. Step 2: Convert to fraction form
    206,897.60/285,488.07 = 119,680.04/x
  3. Step 3: Cross multiply
    206,897.60x = 285,488.07 × 119,680.04
  4. Step 4: Simplify right side
    206,897.60x = 34,167,223,637.12
  5. Step 5: Solve for x
    x = 34,167,223,637.12/206,897.60
  6. Step 6: Final answer
    x = 165,140.74

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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.