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Finding the Fourth Proportional to 106,468.72, 146,926.55 and 61,149.63

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Solution

The fourth proportional to 106,468.72, 146,926.55 and 61,149.63 is: 84,386.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,468.72 : 146,926.55 = 61,149.63 : x
  2. Step 2: Convert to fraction form
    106,468.72/146,926.55 = 61,149.63/x
  3. Step 3: Cross multiply
    106,468.72x = 146,926.55 × 61,149.63
  4. Step 4: Simplify right side
    106,468.72x = 8,984,504,169.68
  5. Step 5: Solve for x
    x = 8,984,504,169.68/106,468.72
  6. Step 6: Final answer
    x = 84,386.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.