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Finding the Fourth Proportional to 137,870.62, 206,820.30 and 38,030.82

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Solution

The fourth proportional to 137,870.62, 206,820.30 and 38,030.82 is: 57,050.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,870.62 : 206,820.30 = 38,030.82 : x
  2. Step 2: Convert to fraction form
    137,870.62/206,820.30 = 38,030.82/x
  3. Step 3: Cross multiply
    137,870.62x = 206,820.30 × 38,030.82
  4. Step 4: Simplify right side
    137,870.62x = 7,865,545,601.65
  5. Step 5: Solve for x
    x = 7,865,545,601.65/137,870.62
  6. Step 6: Final answer
    x = 57,050.19

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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.