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Finding the Fourth Proportional to 99,785.70, 149,314.05 and 73,541.70

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Solution

The fourth proportional to 99,785.70, 149,314.05 and 73,541.70 is: 110,043.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,785.70 : 149,314.05 = 73,541.70 : x
  2. Step 2: Convert to fraction form
    99,785.70/149,314.05 = 73,541.70/x
  3. Step 3: Cross multiply
    99,785.70x = 149,314.05 × 73,541.70
  4. Step 4: Simplify right side
    99,785.70x = 10,980,809,070.89
  5. Step 5: Solve for x
    x = 10,980,809,070.89/99,785.70
  6. Step 6: Final answer
    x = 110,043.91

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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.