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Finding the Fourth Proportional to 213,203.52, 320,006.24 and 156,871.92

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Solution

The fourth proportional to 213,203.52, 320,006.24 and 156,871.92 is: 235,455.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,203.52 : 320,006.24 = 156,871.92 : x
  2. Step 2: Convert to fraction form
    213,203.52/320,006.24 = 156,871.92/x
  3. Step 3: Cross multiply
    213,203.52x = 320,006.24 × 156,871.92
  4. Step 4: Simplify right side
    213,203.52x = 50,199,993,280.78
  5. Step 5: Solve for x
    x = 50,199,993,280.78/213,203.52
  6. Step 6: Final answer
    x = 235,455.74

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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.