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Finding the Fourth Proportional to 106,331, 146,742.90 and 61,008.56

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Solution

The fourth proportional to 106,331, 146,742.90 and 61,008.56 is: 84,195.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,331 : 146,742.90 = 61,008.56 : x
  2. Step 2: Convert to fraction form
    106,331/146,742.90 = 61,008.56/x
  3. Step 3: Cross multiply
    106,331x = 146,742.90 × 61,008.56
  4. Step 4: Simplify right side
    106,331x = 8,952,573,019.22
  5. Step 5: Solve for x
    x = 8,952,573,019.22/106,331
  6. Step 6: Final answer
    x = 84,195.32

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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.