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Finding the Fourth Proportional to 135,907.80, 187,531.92 and 75,477.48

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Solution

The fourth proportional to 135,907.80, 187,531.92 and 75,477.48 is: 104,147.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,907.80 : 187,531.92 = 75,477.48 : x
  2. Step 2: Convert to fraction form
    135,907.80/187,531.92 = 75,477.48/x
  3. Step 3: Cross multiply
    135,907.80x = 187,531.92 × 75,477.48
  4. Step 4: Simplify right side
    135,907.80x = 14,154,436,741.16
  5. Step 5: Solve for x
    x = 14,154,436,741.16/135,907.80
  6. Step 6: Final answer
    x = 104,147.35

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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.