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Finding the Fourth Proportional to 97,342, 146,028.80 and 38,145.58

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Solution

The fourth proportional to 97,342, 146,028.80 and 38,145.58 is: 57,224.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,342 : 146,028.80 = 38,145.58 : x
  2. Step 2: Convert to fraction form
    97,342/146,028.80 = 38,145.58/x
  3. Step 3: Cross multiply
    97,342x = 146,028.80 × 38,145.58
  4. Step 4: Simplify right side
    97,342x = 5,570,353,272.70
  5. Step 5: Solve for x
    x = 5,570,353,272.70/97,342
  6. Step 6: Final answer
    x = 57,224.56

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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.