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Finding the Fourth Proportional to 102,099.97, 153,149.96 and 31,984.75

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Solution

The fourth proportional to 102,099.97, 153,149.96 and 31,984.75 is: 47,977.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,099.97 : 153,149.96 = 31,984.75 : x
  2. Step 2: Convert to fraction form
    102,099.97/153,149.96 = 31,984.75/x
  3. Step 3: Cross multiply
    102,099.97x = 153,149.96 × 31,984.75
  4. Step 4: Simplify right side
    102,099.97x = 4,898,463,183.11
  5. Step 5: Solve for x
    x = 4,898,463,183.11/102,099.97
  6. Step 6: Final answer
    x = 47,977.13

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1.5x scale

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.