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Finding the Fourth Proportional to 89,148.40, 133,722.60 and 29,977.90

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Solution

The fourth proportional to 89,148.40, 133,722.60 and 29,977.90 is: 44,966.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,148.40 : 133,722.60 = 29,977.90 : x
  2. Step 2: Convert to fraction form
    89,148.40/133,722.60 = 29,977.90/x
  3. Step 3: Cross multiply
    89,148.40x = 133,722.60 × 29,977.90
  4. Step 4: Simplify right side
    89,148.40x = 4,008,722,730.54
  5. Step 5: Solve for x
    x = 4,008,722,730.54/89,148.40
  6. Step 6: Final answer
    x = 44,966.85

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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.