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Finding the Fourth Proportional to 97,781.48, 146,648.70 and 45,140.42

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Solution

The fourth proportional to 97,781.48, 146,648.70 and 45,140.42 is: 67,699.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,781.48 : 146,648.70 = 45,140.42 : x
  2. Step 2: Convert to fraction form
    97,781.48/146,648.70 = 45,140.42/x
  3. Step 3: Cross multiply
    97,781.48x = 146,648.70 × 45,140.42
  4. Step 4: Simplify right side
    97,781.48x = 6,619,783,910.45
  5. Step 5: Solve for x
    x = 6,619,783,910.45/97,781.48
  6. Step 6: Final answer
    x = 67,699.77

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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.