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Finding the Fourth Proportional to 135,512.93, 187,033.93 and 78,189.30

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Solution

The fourth proportional to 135,512.93, 187,033.93 and 78,189.30 is: 107,916.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,512.93 : 187,033.93 = 78,189.30 : x
  2. Step 2: Convert to fraction form
    135,512.93/187,033.93 = 78,189.30/x
  3. Step 3: Cross multiply
    135,512.93x = 187,033.93 × 78,189.30
  4. Step 4: Simplify right side
    135,512.93x = 14,624,051,867.48
  5. Step 5: Solve for x
    x = 14,624,051,867.48/135,512.93
  6. Step 6: Final answer
    x = 107,916.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.