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Finding the Fourth Proportional to 213,147.60, 319,606.20 and 88,501.20

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Solution

The fourth proportional to 213,147.60, 319,606.20 and 88,501.20 is: 132,703.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,147.60 : 319,606.20 = 88,501.20 : x
  2. Step 2: Convert to fraction form
    213,147.60/319,606.20 = 88,501.20/x
  3. Step 3: Cross multiply
    213,147.60x = 319,606.20 × 88,501.20
  4. Step 4: Simplify right side
    213,147.60x = 28,285,532,227.44
  5. Step 5: Solve for x
    x = 28,285,532,227.44/213,147.60
  6. Step 6: Final answer
    x = 132,703.97

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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.