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Finding the Fourth Proportional to 135,810.90, 187,410.20 and 75,378.64

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Solution

The fourth proportional to 135,810.90, 187,410.20 and 75,378.64 is: 104,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,810.90 : 187,410.20 = 75,378.64 : x
  2. Step 2: Convert to fraction form
    135,810.90/187,410.20 = 75,378.64/x
  3. Step 3: Cross multiply
    135,810.90x = 187,410.20 × 75,378.64
  4. Step 4: Simplify right side
    135,810.90x = 14,126,725,998.13
  5. Step 5: Solve for x
    x = 14,126,725,998.13/135,810.90
  6. Step 6: Final answer
    x = 104,017.62

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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.