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Finding the Fourth Proportional to 106,728.90, 160,116.23 and 31,854.93

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Solution

The fourth proportional to 106,728.90, 160,116.23 and 31,854.93 is: 47,789.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,728.90 : 160,116.23 = 31,854.93 : x
  2. Step 2: Convert to fraction form
    106,728.90/160,116.23 = 31,854.93/x
  3. Step 3: Cross multiply
    106,728.90x = 160,116.23 × 31,854.93
  4. Step 4: Simplify right side
    106,728.90x = 5,100,491,298.51
  5. Step 5: Solve for x
    x = 5,100,491,298.51/106,728.90
  6. Step 6: Final answer
    x = 47,789.22

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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.