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Finding the Fourth Proportional to 137,785.21, 206,678.93 and 37,950.91

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Solution

The fourth proportional to 137,785.21, 206,678.93 and 37,950.91 is: 56,926.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,785.21 : 206,678.93 = 37,950.91 : x
  2. Step 2: Convert to fraction form
    137,785.21/206,678.93 = 37,950.91/x
  3. Step 3: Cross multiply
    137,785.21x = 206,678.93 × 37,950.91
  4. Step 4: Simplify right side
    137,785.21x = 7,843,653,281.57
  5. Step 5: Solve for x
    x = 7,843,653,281.57/137,785.21
  6. Step 6: Final answer
    x = 56,926.67

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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.