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Finding the Fourth Proportional to 213,815.40, 320,031.90 and 166,813.80

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Solution

The fourth proportional to 213,815.40, 320,031.90 and 166,813.80 is: 249,681.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,815.40 : 320,031.90 = 166,813.80 : x
  2. Step 2: Convert to fraction form
    213,815.40/320,031.90 = 166,813.80/x
  3. Step 3: Cross multiply
    213,815.40x = 320,031.90 × 166,813.80
  4. Step 4: Simplify right side
    213,815.40x = 53,385,737,360.22
  5. Step 5: Solve for x
    x = 53,385,737,360.22/213,815.40
  6. Step 6: Final answer
    x = 249,681.44

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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.