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Finding the Fourth Proportional to 143,214.80, 215,051.70 and 113,876.60

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Solution

The fourth proportional to 143,214.80, 215,051.70 and 113,876.60 is: 170,997.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,214.80 : 215,051.70 = 113,876.60 : x
  2. Step 2: Convert to fraction form
    143,214.80/215,051.70 = 113,876.60/x
  3. Step 3: Cross multiply
    143,214.80x = 215,051.70 × 113,876.60
  4. Step 4: Simplify right side
    143,214.80x = 24,489,356,420.22
  5. Step 5: Solve for x
    x = 24,489,356,420.22/143,214.80
  6. Step 6: Final answer
    x = 170,997.39

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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.