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Finding the Fourth Proportional to 105,907.78, 158,764.32 and 45,898.62

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Solution

The fourth proportional to 105,907.78, 158,764.32 and 45,898.62 is: 68,805.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,907.78 : 158,764.32 = 45,898.62 : x
  2. Step 2: Convert to fraction form
    105,907.78/158,764.32 = 45,898.62/x
  3. Step 3: Cross multiply
    105,907.78x = 158,764.32 × 45,898.62
  4. Step 4: Simplify right side
    105,907.78x = 7,287,063,193.24
  5. Step 5: Solve for x
    x = 7,287,063,193.24/105,907.78
  6. Step 6: Final answer
    x = 68,805.74

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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.