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Finding the Fourth Proportional to 73,989.40, 102,180 and 47,144.40

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Solution

The fourth proportional to 73,989.40, 102,180 and 47,144.40 is: 65,106.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,989.40 : 102,180 = 47,144.40 : x
  2. Step 2: Convert to fraction form
    73,989.40/102,180 = 47,144.40/x
  3. Step 3: Cross multiply
    73,989.40x = 102,180 × 47,144.40
  4. Step 4: Simplify right side
    73,989.40x = 4,817,214,792
  5. Step 5: Solve for x
    x = 4,817,214,792/73,989.40
  6. Step 6: Final answer
    x = 65,106.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.