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Finding the Fourth Proportional to 66,902, 100,362.70 and 35,720.24

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Solution

The fourth proportional to 66,902, 100,362.70 and 35,720.24 is: 53,585.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,902 : 100,362.70 = 35,720.24 : x
  2. Step 2: Convert to fraction form
    66,902/100,362.70 = 35,720.24/x
  3. Step 3: Cross multiply
    66,902x = 100,362.70 × 35,720.24
  4. Step 4: Simplify right side
    66,902x = 3,584,979,731.05
  5. Step 5: Solve for x
    x = 3,584,979,731.05/66,902
  6. Step 6: Final answer
    x = 53,585.54

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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.