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Finding the Fourth Proportional to 137,420.70, 206,125.66 and 57,438.01

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Solution

The fourth proportional to 137,420.70, 206,125.66 and 57,438.01 is: 86,154.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,420.70 : 206,125.66 = 57,438.01 : x
  2. Step 2: Convert to fraction form
    137,420.70/206,125.66 = 57,438.01/x
  3. Step 3: Cross multiply
    137,420.70x = 206,125.66 × 57,438.01
  4. Step 4: Simplify right side
    137,420.70x = 11,839,447,061.43
  5. Step 5: Solve for x
    x = 11,839,447,061.43/137,420.70
  6. Step 6: Final answer
    x = 86,154.76

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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.