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Finding the Fourth Proportional to 97,341, 146,010.61 and 30,781.20

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Solution

The fourth proportional to 97,341, 146,010.61 and 30,781.20 is: 46,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,341 : 146,010.61 = 30,781.20 : x
  2. Step 2: Convert to fraction form
    97,341/146,010.61 = 30,781.20/x
  3. Step 3: Cross multiply
    97,341x = 146,010.61 × 30,781.20
  4. Step 4: Simplify right side
    97,341x = 4,494,381,788.53
  5. Step 5: Solve for x
    x = 4,494,381,788.53/97,341
  6. Step 6: Final answer
    x = 46,171.52

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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.