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Finding the Fourth Proportional to 212,665.65, 318,473.26 and 158,500.47

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Solution

The fourth proportional to 212,665.65, 318,473.26 and 158,500.47 is: 237,359.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,665.65 : 318,473.26 = 158,500.47 : x
  2. Step 2: Convert to fraction form
    212,665.65/318,473.26 = 158,500.47/x
  3. Step 3: Cross multiply
    212,665.65x = 318,473.26 × 158,500.47
  4. Step 4: Simplify right side
    212,665.65x = 50,478,160,399.04
  5. Step 5: Solve for x
    x = 50,478,160,399.04/212,665.65
  6. Step 6: Final answer
    x = 237,359.25

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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.