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Finding the Fourth Proportional to 213,516.34, 320,388.72 and 138,618.88

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Solution

The fourth proportional to 213,516.34, 320,388.72 and 138,618.88 is: 208,002.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,516.34 : 320,388.72 = 138,618.88 : x
  2. Step 2: Convert to fraction form
    213,516.34/320,388.72 = 138,618.88/x
  3. Step 3: Cross multiply
    213,516.34x = 320,388.72 × 138,618.88
  4. Step 4: Simplify right side
    213,516.34x = 44,411,925,531.03
  5. Step 5: Solve for x
    x = 44,411,925,531.03/213,516.34
  6. Step 6: Final answer
    x = 208,002.47

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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.