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Finding the Fourth Proportional to 99,201, 136,906.56 and 54,497.64

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Solution

The fourth proportional to 99,201, 136,906.56 and 54,497.64 is: 75,211.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,201 : 136,906.56 = 54,497.64 : x
  2. Step 2: Convert to fraction form
    99,201/136,906.56 = 54,497.64/x
  3. Step 3: Cross multiply
    99,201x = 136,906.56 × 54,497.64
  4. Step 4: Simplify right side
    99,201x = 7,461,084,420.52
  5. Step 5: Solve for x
    x = 7,461,084,420.52/99,201
  6. Step 6: Final answer
    x = 75,211.79

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.