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Finding the Fourth Proportional to 231,164.74, 346,847.28 and 81,511.93

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Solution

The fourth proportional to 231,164.74, 346,847.28 and 81,511.93 is: 122,303.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,164.74 : 346,847.28 = 81,511.93 : x
  2. Step 2: Convert to fraction form
    231,164.74/346,847.28 = 81,511.93/x
  3. Step 3: Cross multiply
    231,164.74x = 346,847.28 × 81,511.93
  4. Step 4: Simplify right side
    231,164.74x = 28,272,191,208.05
  5. Step 5: Solve for x
    x = 28,272,191,208.05/231,164.74
  6. Step 6: Final answer
    x = 122,303.22

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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.