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Finding the Fourth Proportional to 97,981.53, 146,978.99 and 38,817.11

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Solution

The fourth proportional to 97,981.53, 146,978.99 and 38,817.11 is: 58,228.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,981.53 : 146,978.99 = 38,817.11 : x
  2. Step 2: Convert to fraction form
    97,981.53/146,978.99 = 38,817.11/x
  3. Step 3: Cross multiply
    97,981.53x = 146,978.99 × 38,817.11
  4. Step 4: Simplify right side
    97,981.53x = 5,705,298,693.54
  5. Step 5: Solve for x
    x = 5,705,298,693.54/97,981.53
  6. Step 6: Final answer
    x = 58,228.31

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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.