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Finding the Fourth Proportional to 137,670.81, 206,508.50 and 37,830.39

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Solution

The fourth proportional to 137,670.81, 206,508.50 and 37,830.39 is: 56,746.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,670.81 : 206,508.50 = 37,830.39 : x
  2. Step 2: Convert to fraction form
    137,670.81/206,508.50 = 37,830.39/x
  3. Step 3: Cross multiply
    137,670.81x = 206,508.50 × 37,830.39
  4. Step 4: Simplify right side
    137,670.81x = 7,812,296,387.89
  5. Step 5: Solve for x
    x = 7,812,296,387.89/137,670.81
  6. Step 6: Final answer
    x = 56,746.21

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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.