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Finding the Fourth Proportional to 97,626.60, 146,439.90 and 38,430

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Solution

The fourth proportional to 97,626.60, 146,439.90 and 38,430 is: 57,645

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,626.60 : 146,439.90 = 38,430 : x
  2. Step 2: Convert to fraction form
    97,626.60/146,439.90 = 38,430/x
  3. Step 3: Cross multiply
    97,626.60x = 146,439.90 × 38,430
  4. Step 4: Simplify right side
    97,626.60x = 5,627,685,357
  5. Step 5: Solve for x
    x = 5,627,685,357/97,626.60
  6. Step 6: Final answer
    x = 57,645

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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.