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Finding the Fourth Proportional to 106,458.72, 159,425.64 and 66,917.76

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Solution

The fourth proportional to 106,458.72, 159,425.64 and 66,917.76 is: 100,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,458.72 : 159,425.64 = 66,917.76 : x
  2. Step 2: Convert to fraction form
    106,458.72/159,425.64 = 66,917.76/x
  3. Step 3: Cross multiply
    106,458.72x = 159,425.64 × 66,917.76
  4. Step 4: Simplify right side
    106,458.72x = 10,668,406,715.37
  5. Step 5: Solve for x
    x = 10,668,406,715.37/106,458.72
  6. Step 6: Final answer
    x = 100,211.68

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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.