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Finding the Fourth Proportional to 102,622.40, 153,674.40 and 67,371.20

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Solution

The fourth proportional to 102,622.40, 153,674.40 and 67,371.20 is: 100,886.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,622.40 : 153,674.40 = 67,371.20 : x
  2. Step 2: Convert to fraction form
    102,622.40/153,674.40 = 67,371.20/x
  3. Step 3: Cross multiply
    102,622.40x = 153,674.40 × 67,371.20
  4. Step 4: Simplify right side
    102,622.40x = 10,353,228,737.28
  5. Step 5: Solve for x
    x = 10,353,228,737.28/102,622.40
  6. Step 6: Final answer
    x = 100,886.64

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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.