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Finding the Fourth Proportional to 134,640.80, 201,970.80 and 41,146.40

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Solution

The fourth proportional to 134,640.80, 201,970.80 and 41,146.40 is: 61,722.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,640.80 : 201,970.80 = 41,146.40 : x
  2. Step 2: Convert to fraction form
    134,640.80/201,970.80 = 41,146.40/x
  3. Step 3: Cross multiply
    134,640.80x = 201,970.80 × 41,146.40
  4. Step 4: Simplify right side
    134,640.80x = 8,310,371,325.12
  5. Step 5: Solve for x
    x = 8,310,371,325.12/134,640.80
  6. Step 6: Final answer
    x = 61,722.53

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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.