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Finding the Fourth Proportional to 213,668.82, 320,384.90 and 87,397.72

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Solution

The fourth proportional to 213,668.82, 320,384.90 and 87,397.72 is: 131,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,668.82 : 320,384.90 = 87,397.72 : x
  2. Step 2: Convert to fraction form
    213,668.82/320,384.90 = 87,397.72/x
  3. Step 3: Cross multiply
    213,668.82x = 320,384.90 × 87,397.72
  4. Step 4: Simplify right side
    213,668.82x = 28,000,909,782.43
  5. Step 5: Solve for x
    x = 28,000,909,782.43/213,668.82
  6. Step 6: Final answer
    x = 131,048.18

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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.