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Finding the Fourth Proportional to 213,158.70, 319,316.85 and 138,330.90

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Solution

The fourth proportional to 213,158.70, 319,316.85 and 138,330.90 is: 207,223.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,158.70 : 319,316.85 = 138,330.90 : x
  2. Step 2: Convert to fraction form
    213,158.70/319,316.85 = 138,330.90/x
  3. Step 3: Cross multiply
    213,158.70x = 319,316.85 × 138,330.90
  4. Step 4: Simplify right side
    213,158.70x = 44,171,387,245.67
  5. Step 5: Solve for x
    x = 44,171,387,245.67/213,158.70
  6. Step 6: Final answer
    x = 207,223.01

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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.