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Finding the Fourth Proportional to 213,609.64, 320,631.72 and 107,070.52

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Solution

The fourth proportional to 213,609.64, 320,631.72 and 107,070.52 is: 160,714.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,609.64 : 320,631.72 = 107,070.52 : x
  2. Step 2: Convert to fraction form
    213,609.64/320,631.72 = 107,070.52/x
  3. Step 3: Cross multiply
    213,609.64x = 320,631.72 × 107,070.52
  4. Step 4: Simplify right side
    213,609.64x = 34,330,204,988.89
  5. Step 5: Solve for x
    x = 34,330,204,988.89/213,609.64
  6. Step 6: Final answer
    x = 160,714.68

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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.