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Finding the Fourth Proportional to 97,428.90, 146,200.95 and 71,067.30

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Solution

The fourth proportional to 97,428.90, 146,200.95 and 71,067.30 is: 106,642.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,428.90 : 146,200.95 = 71,067.30 : x
  2. Step 2: Convert to fraction form
    97,428.90/146,200.95 = 71,067.30/x
  3. Step 3: Cross multiply
    97,428.90x = 146,200.95 × 71,067.30
  4. Step 4: Simplify right side
    97,428.90x = 10,390,106,773.94
  5. Step 5: Solve for x
    x = 10,390,106,773.94/97,428.90
  6. Step 6: Final answer
    x = 106,642.97

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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.