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Finding the Fourth Proportional to 134,653.76, 185,745.12 and 84,265.28

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Solution

The fourth proportional to 134,653.76, 185,745.12 and 84,265.28 is: 116,237.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,653.76 : 185,745.12 = 84,265.28 : x
  2. Step 2: Convert to fraction form
    134,653.76/185,745.12 = 84,265.28/x
  3. Step 3: Cross multiply
    134,653.76x = 185,745.12 × 84,265.28
  4. Step 4: Simplify right side
    134,653.76x = 15,651,864,545.43
  5. Step 5: Solve for x
    x = 15,651,864,545.43/134,653.76
  6. Step 6: Final answer
    x = 116,237.86

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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.