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Finding the Fourth Proportional to 212,967.33, 319,331.16 and 70,736.46

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Solution

The fourth proportional to 212,967.33, 319,331.16 and 70,736.46 is: 106,064.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,967.33 : 319,331.16 = 70,736.46 : x
  2. Step 2: Convert to fraction form
    212,967.33/319,331.16 = 70,736.46/x
  3. Step 3: Cross multiply
    212,967.33x = 319,331.16 × 70,736.46
  4. Step 4: Simplify right side
    212,967.33x = 22,588,357,322.96
  5. Step 5: Solve for x
    x = 22,588,357,322.96/212,967.33
  6. Step 6: Final answer
    x = 106,064.90

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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.