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Finding the Fourth Proportional to 142,098.30, 212,866.65 and 92,213.10

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Solution

The fourth proportional to 142,098.30, 212,866.65 and 92,213.10 is: 138,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,098.30 : 212,866.65 = 92,213.10 : x
  2. Step 2: Convert to fraction form
    142,098.30/212,866.65 = 92,213.10/x
  3. Step 3: Cross multiply
    142,098.30x = 212,866.65 × 92,213.10
  4. Step 4: Simplify right side
    142,098.30x = 19,629,093,683.12
  5. Step 5: Solve for x
    x = 19,629,093,683.12/142,098.30
  6. Step 6: Final answer
    x = 138,137.43

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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.