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Finding the Fourth Proportional to 193,989.42, 290,966.81 and 67,608.16

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Solution

The fourth proportional to 193,989.42, 290,966.81 and 67,608.16 is: 101,406.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,989.42 : 290,966.81 = 67,608.16 : x
  2. Step 2: Convert to fraction form
    193,989.42/290,966.81 = 67,608.16/x
  3. Step 3: Cross multiply
    193,989.42x = 290,966.81 × 67,608.16
  4. Step 4: Simplify right side
    193,989.42x = 19,671,730,645.17
  5. Step 5: Solve for x
    x = 19,671,730,645.17/193,989.42
  6. Step 6: Final answer
    x = 101,406.20

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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.