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Finding the Fourth Proportional to 102,640.56, 153,931.62 and 65,144.04

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Solution

The fourth proportional to 102,640.56, 153,931.62 and 65,144.04 is: 97,697.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,640.56 : 153,931.62 = 65,144.04 : x
  2. Step 2: Convert to fraction form
    102,640.56/153,931.62 = 65,144.04/x
  3. Step 3: Cross multiply
    102,640.56x = 153,931.62 × 65,144.04
  4. Step 4: Simplify right side
    102,640.56x = 10,027,727,610.54
  5. Step 5: Solve for x
    x = 10,027,727,610.54/102,640.56
  6. Step 6: Final answer
    x = 97,697.51

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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.