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Finding the Fourth Proportional to 114,102.60, 171,099.90 and 66,731.40

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Solution

The fourth proportional to 114,102.60, 171,099.90 and 66,731.40 is: 100,065.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,102.60 : 171,099.90 = 66,731.40 : x
  2. Step 2: Convert to fraction form
    114,102.60/171,099.90 = 66,731.40/x
  3. Step 3: Cross multiply
    114,102.60x = 171,099.90 × 66,731.40
  4. Step 4: Simplify right side
    114,102.60x = 11,417,735,866.86
  5. Step 5: Solve for x
    x = 11,417,735,866.86/114,102.60
  6. Step 6: Final answer
    x = 100,065.52

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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.