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Finding the Fourth Proportional to 137,635.74, 206,428.93 and 37,782.79

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Solution

The fourth proportional to 137,635.74, 206,428.93 and 37,782.79 is: 56,667.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,635.74 : 206,428.93 = 37,782.79 : x
  2. Step 2: Convert to fraction form
    137,635.74/206,428.93 = 37,782.79/x
  3. Step 3: Cross multiply
    137,635.74x = 206,428.93 × 37,782.79
  4. Step 4: Simplify right side
    137,635.74x = 7,799,460,301.59
  5. Step 5: Solve for x
    x = 7,799,460,301.59/137,635.74
  6. Step 6: Final answer
    x = 56,667.41

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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.