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Finding the Fourth Proportional to 105,509.80, 158,289.88 and 34,432.57

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Solution

The fourth proportional to 105,509.80, 158,289.88 and 34,432.57 is: 51,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,509.80 : 158,289.88 = 34,432.57 : x
  2. Step 2: Convert to fraction form
    105,509.80/158,289.88 = 34,432.57/x
  3. Step 3: Cross multiply
    105,509.80x = 158,289.88 × 34,432.57
  4. Step 4: Simplify right side
    105,509.80x = 5,450,326,891.59
  5. Step 5: Solve for x
    x = 5,450,326,891.59/105,509.80
  6. Step 6: Final answer
    x = 51,657.07

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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.