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Finding the Fourth Proportional to 106,266.94, 159,006.68 and 78,207.72

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Solution

The fourth proportional to 106,266.94, 159,006.68 and 78,207.72 is: 117,021.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,266.94 : 159,006.68 = 78,207.72 : x
  2. Step 2: Convert to fraction form
    106,266.94/159,006.68 = 78,207.72/x
  3. Step 3: Cross multiply
    106,266.94x = 159,006.68 × 78,207.72
  4. Step 4: Simplify right side
    106,266.94x = 12,435,549,907.57
  5. Step 5: Solve for x
    x = 12,435,549,907.57/106,266.94
  6. Step 6: Final answer
    x = 117,021.81

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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.