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Finding the Fourth Proportional to 135,902.09, 187,551.16 and 75,473

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Solution

The fourth proportional to 135,902.09, 187,551.16 and 75,473 is: 104,156.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,902.09 : 187,551.16 = 75,473 : x
  2. Step 2: Convert to fraction form
    135,902.09/187,551.16 = 75,473/x
  3. Step 3: Cross multiply
    135,902.09x = 187,551.16 × 75,473
  4. Step 4: Simplify right side
    135,902.09x = 14,155,048,698.68
  5. Step 5: Solve for x
    x = 14,155,048,698.68/135,902.09
  6. Step 6: Final answer
    x = 104,156.23

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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.