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Finding the Fourth Proportional to 134,661.48, 185,824.48 and 74,229

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Solution

The fourth proportional to 134,661.48, 185,824.48 and 74,229 is: 102,431.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,661.48 : 185,824.48 = 74,229 : x
  2. Step 2: Convert to fraction form
    134,661.48/185,824.48 = 74,229/x
  3. Step 3: Cross multiply
    134,661.48x = 185,824.48 × 74,229
  4. Step 4: Simplify right side
    134,661.48x = 13,793,565,325.92
  5. Step 5: Solve for x
    x = 13,793,565,325.92/134,661.48
  6. Step 6: Final answer
    x = 102,431.41

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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.