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Finding the Fourth Proportional to 81,328.70, 121,969.64 and 28,018.52

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Solution

The fourth proportional to 81,328.70, 121,969.64 and 28,018.52 is: 42,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,328.70 : 121,969.64 = 28,018.52 : x
  2. Step 2: Convert to fraction form
    81,328.70/121,969.64 = 28,018.52/x
  3. Step 3: Cross multiply
    81,328.70x = 121,969.64 × 28,018.52
  4. Step 4: Simplify right side
    81,328.70x = 3,417,408,797.73
  5. Step 5: Solve for x
    x = 3,417,408,797.73/81,328.70
  6. Step 6: Final answer
    x = 42,019.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.