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Finding the Fourth Proportional to 78,301.50, 117,469.53 and 29,053.50

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Solution

The fourth proportional to 78,301.50, 117,469.53 and 29,053.50 is: 43,586.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,301.50 : 117,469.53 = 29,053.50 : x
  2. Step 2: Convert to fraction form
    78,301.50/117,469.53 = 29,053.50/x
  3. Step 3: Cross multiply
    78,301.50x = 117,469.53 × 29,053.50
  4. Step 4: Simplify right side
    78,301.50x = 3,412,900,989.86
  5. Step 5: Solve for x
    x = 3,412,900,989.86/78,301.50
  6. Step 6: Final answer
    x = 43,586.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.