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Finding the Fourth Proportional to 137,678.86, 206,554.74 and 42,908.86

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Solution

The fourth proportional to 137,678.86, 206,554.74 and 42,908.86 is: 64,374.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,678.86 : 206,554.74 = 42,908.86 : x
  2. Step 2: Convert to fraction form
    137,678.86/206,554.74 = 42,908.86/x
  3. Step 3: Cross multiply
    137,678.86x = 206,554.74 × 42,908.86
  4. Step 4: Simplify right side
    137,678.86x = 8,863,028,421.00
  5. Step 5: Solve for x
    x = 8,863,028,421.00/137,678.86
  6. Step 6: Final answer
    x = 64,374.65

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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.