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Finding the Fourth Proportional to 135,838.72, 187,448.03 and 75,404.58

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Solution

The fourth proportional to 135,838.72, 187,448.03 and 75,404.58 is: 104,053.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,838.72 : 187,448.03 = 75,404.58 : x
  2. Step 2: Convert to fraction form
    135,838.72/187,448.03 = 75,404.58/x
  3. Step 3: Cross multiply
    135,838.72x = 187,448.03 × 75,404.58
  4. Step 4: Simplify right side
    135,838.72x = 14,134,439,596.95
  5. Step 5: Solve for x
    x = 14,134,439,596.95/135,838.72
  6. Step 6: Final answer
    x = 104,053.10

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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.