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Finding the Fourth Proportional to 135,978.48, 187,650.53 and 75,549.19

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Solution

The fourth proportional to 135,978.48, 187,650.53 and 75,549.19 is: 104,258.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,978.48 : 187,650.53 = 75,549.19 : x
  2. Step 2: Convert to fraction form
    135,978.48/187,650.53 = 75,549.19/x
  3. Step 3: Cross multiply
    135,978.48x = 187,650.53 × 75,549.19
  4. Step 4: Simplify right side
    135,978.48x = 14,176,845,544.57
  5. Step 5: Solve for x
    x = 14,176,845,544.57/135,978.48
  6. Step 6: Final answer
    x = 104,258.01

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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.