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Finding the Fourth Proportional to 137,619.64, 206,428.38 and 37,779.46

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Solution

The fourth proportional to 137,619.64, 206,428.38 and 37,779.46 is: 56,668.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,619.64 : 206,428.38 = 37,779.46 : x
  2. Step 2: Convert to fraction form
    137,619.64/206,428.38 = 37,779.46/x
  3. Step 3: Cross multiply
    137,619.64x = 206,428.38 × 37,779.46
  4. Step 4: Simplify right side
    137,619.64x = 7,798,752,725.07
  5. Step 5: Solve for x
    x = 7,798,752,725.07/137,619.64
  6. Step 6: Final answer
    x = 56,668.89

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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.