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Finding the Fourth Proportional to 213,122.88, 319,720.32 and 88,473.60

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Solution

The fourth proportional to 213,122.88, 319,720.32 and 88,473.60 is: 132,725.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,122.88 : 319,720.32 = 88,473.60 : x
  2. Step 2: Convert to fraction form
    213,122.88/319,720.32 = 88,473.60/x
  3. Step 3: Cross multiply
    213,122.88x = 319,720.32 × 88,473.60
  4. Step 4: Simplify right side
    213,122.88x = 28,286,807,703.55
  5. Step 5: Solve for x
    x = 28,286,807,703.55/213,122.88
  6. Step 6: Final answer
    x = 132,725.34

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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.