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Finding the Fourth Proportional to 213,404.59, 320,151.08 and 87,045.19

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Solution

The fourth proportional to 213,404.59, 320,151.08 and 87,045.19 is: 130,585.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,404.59 : 320,151.08 = 87,045.19 : x
  2. Step 2: Convert to fraction form
    213,404.59/320,151.08 = 87,045.19/x
  3. Step 3: Cross multiply
    213,404.59x = 320,151.08 × 87,045.19
  4. Step 4: Simplify right side
    213,404.59x = 27,867,611,587.31
  5. Step 5: Solve for x
    x = 27,867,611,587.31/213,404.59
  6. Step 6: Final answer
    x = 130,585.81

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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.