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Finding the Fourth Proportional to 210,791.13, 316,163.40 and 53,019.64

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Solution

The fourth proportional to 210,791.13, 316,163.40 and 53,019.64 is: 79,523.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,791.13 : 316,163.40 = 53,019.64 : x
  2. Step 2: Convert to fraction form
    210,791.13/316,163.40 = 53,019.64/x
  3. Step 3: Cross multiply
    210,791.13x = 316,163.40 × 53,019.64
  4. Step 4: Simplify right side
    210,791.13x = 16,762,869,649.18
  5. Step 5: Solve for x
    x = 16,762,869,649.18/210,791.13
  6. Step 6: Final answer
    x = 79,523.60

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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.