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Finding the Fourth Proportional to 118,541.40, 178,200.90 and 83,722.20

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Solution

The fourth proportional to 118,541.40, 178,200.90 and 83,722.20 is: 125,857.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,541.40 : 178,200.90 = 83,722.20 : x
  2. Step 2: Convert to fraction form
    118,541.40/178,200.90 = 83,722.20/x
  3. Step 3: Cross multiply
    118,541.40x = 178,200.90 × 83,722.20
  4. Step 4: Simplify right side
    118,541.40x = 14,919,371,389.98
  5. Step 5: Solve for x
    x = 14,919,371,389.98/118,541.40
  6. Step 6: Final answer
    x = 125,857.90

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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.