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Finding the Fourth Proportional to 149,993.78, 225,052.78 and 65,710.40

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Solution

The fourth proportional to 149,993.78, 225,052.78 and 65,710.40 is: 98,592.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,993.78 : 225,052.78 = 65,710.40 : x
  2. Step 2: Convert to fraction form
    149,993.78/225,052.78 = 65,710.40/x
  3. Step 3: Cross multiply
    149,993.78x = 225,052.78 × 65,710.40
  4. Step 4: Simplify right side
    149,993.78x = 14,788,308,194.91
  5. Step 5: Solve for x
    x = 14,788,308,194.91/149,993.78
  6. Step 6: Final answer
    x = 98,592.81

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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.