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Finding the Fourth Proportional to 213,157.62, 319,836.15 and 93,199.05

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Solution

The fourth proportional to 213,157.62, 319,836.15 and 93,199.05 is: 139,842.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,157.62 : 319,836.15 = 93,199.05 : x
  2. Step 2: Convert to fraction form
    213,157.62/319,836.15 = 93,199.05/x
  3. Step 3: Cross multiply
    213,157.62x = 319,836.15 × 93,199.05
  4. Step 4: Simplify right side
    213,157.62x = 29,808,425,335.66
  5. Step 5: Solve for x
    x = 29,808,425,335.66/213,157.62
  6. Step 6: Final answer
    x = 139,842.18

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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.