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Finding the Fourth Proportional to 97,793.40, 146,430.90 and 77,057.40

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Solution

The fourth proportional to 97,793.40, 146,430.90 and 77,057.40 is: 115,381.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,793.40 : 146,430.90 = 77,057.40 : x
  2. Step 2: Convert to fraction form
    97,793.40/146,430.90 = 77,057.40/x
  3. Step 3: Cross multiply
    97,793.40x = 146,430.90 × 77,057.40
  4. Step 4: Simplify right side
    97,793.40x = 11,283,584,433.66
  5. Step 5: Solve for x
    x = 11,283,584,433.66/97,793.40
  6. Step 6: Final answer
    x = 115,381.86

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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.