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Finding the Fourth Proportional to 106,427.70, 159,641.55 and 99,866.70

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Solution

The fourth proportional to 106,427.70, 159,641.55 and 99,866.70 is: 149,800.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,427.70 : 159,641.55 = 99,866.70 : x
  2. Step 2: Convert to fraction form
    106,427.70/159,641.55 = 99,866.70/x
  3. Step 3: Cross multiply
    106,427.70x = 159,641.55 × 99,866.70
  4. Step 4: Simplify right side
    106,427.70x = 15,942,874,781.39
  5. Step 5: Solve for x
    x = 15,942,874,781.39/106,427.70
  6. Step 6: Final answer
    x = 149,800.05

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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.