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Finding the Fourth Proportional to 210,919.24, 316,375.20 and 53,144.20

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Solution

The fourth proportional to 210,919.24, 316,375.20 and 53,144.20 is: 79,715.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,919.24 : 316,375.20 = 53,144.20 : x
  2. Step 2: Convert to fraction form
    210,919.24/316,375.20 = 53,144.20/x
  3. Step 3: Cross multiply
    210,919.24x = 316,375.20 × 53,144.20
  4. Step 4: Simplify right side
    210,919.24x = 16,813,506,903.84
  5. Step 5: Solve for x
    x = 16,813,506,903.84/210,919.24
  6. Step 6: Final answer
    x = 79,715.38

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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.