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Finding the Fourth Proportional to 202,642.96, 279,681.30 and 137,202.10

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Solution

The fourth proportional to 202,642.96, 279,681.30 and 137,202.10 is: 189,361.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,642.96 : 279,681.30 = 137,202.10 : x
  2. Step 2: Convert to fraction form
    202,642.96/279,681.30 = 137,202.10/x
  3. Step 3: Cross multiply
    202,642.96x = 279,681.30 × 137,202.10
  4. Step 4: Simplify right side
    202,642.96x = 38,372,861,690.73
  5. Step 5: Solve for x
    x = 38,372,861,690.73/202,642.96
  6. Step 6: Final answer
    x = 189,361.93

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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.