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Finding the Fourth Proportional to 213,862.90, 320,103.15 and 166,861.30

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Solution

The fourth proportional to 213,862.90, 320,103.15 and 166,861.30 is: 249,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,862.90 : 320,103.15 = 166,861.30 : x
  2. Step 2: Convert to fraction form
    213,862.90/320,103.15 = 166,861.30/x
  3. Step 3: Cross multiply
    213,862.90x = 320,103.15 × 166,861.30
  4. Step 4: Simplify right side
    213,862.90x = 53,412,827,743.10
  5. Step 5: Solve for x
    x = 53,412,827,743.10/213,862.90
  6. Step 6: Final answer
    x = 249,752.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.