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Finding the Fourth Proportional to 135,782.36, 187,364.28 and 75,337.28

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Solution

The fourth proportional to 135,782.36, 187,364.28 and 75,337.28 is: 103,956.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,782.36 : 187,364.28 = 75,337.28 : x
  2. Step 2: Convert to fraction form
    135,782.36/187,364.28 = 75,337.28/x
  3. Step 3: Cross multiply
    135,782.36x = 187,364.28 × 75,337.28
  4. Step 4: Simplify right side
    135,782.36x = 14,115,515,224.36
  5. Step 5: Solve for x
    x = 14,115,515,224.36/135,782.36
  6. Step 6: Final answer
    x = 103,956.91

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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.