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Finding the Fourth Proportional to 106,211.70, 159,317.55 and 91,437.30

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Solution

The fourth proportional to 106,211.70, 159,317.55 and 91,437.30 is: 137,155.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,211.70 : 159,317.55 = 91,437.30 : x
  2. Step 2: Convert to fraction form
    106,211.70/159,317.55 = 91,437.30/x
  3. Step 3: Cross multiply
    106,211.70x = 159,317.55 × 91,437.30
  4. Step 4: Simplify right side
    106,211.70x = 14,567,566,614.62
  5. Step 5: Solve for x
    x = 14,567,566,614.62/106,211.70
  6. Step 6: Final answer
    x = 137,155.95

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1.5x scale

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.