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Finding the Fourth Proportional to 212,952, 319,482 and 79,832.64

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Solution

The fourth proportional to 212,952, 319,482 and 79,832.64 is: 119,769.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,952 : 319,482 = 79,832.64 : x
  2. Step 2: Convert to fraction form
    212,952/319,482 = 79,832.64/x
  3. Step 3: Cross multiply
    212,952x = 319,482 × 79,832.64
  4. Step 4: Simplify right side
    212,952x = 25,505,091,492.48
  5. Step 5: Solve for x
    x = 25,505,091,492.48/212,952
  6. Step 6: Final answer
    x = 119,769.20

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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.