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Finding the Fourth Proportional to 252,431.25, 348,361.71 and 137,711.76

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Solution

The fourth proportional to 252,431.25, 348,361.71 and 137,711.76 is: 190,045.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,431.25 : 348,361.71 = 137,711.76 : x
  2. Step 2: Convert to fraction form
    252,431.25/348,361.71 = 137,711.76/x
  3. Step 3: Cross multiply
    252,431.25x = 348,361.71 × 137,711.76
  4. Step 4: Simplify right side
    252,431.25x = 47,973,504,200.71
  5. Step 5: Solve for x
    x = 47,973,504,200.71/252,431.25
  6. Step 6: Final answer
    x = 190,045.82

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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.