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Finding the Fourth Proportional to 106,656.71, 160,011.39 and 31,776.57

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Solution

The fourth proportional to 106,656.71, 160,011.39 and 31,776.57 is: 47,672.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,656.71 : 160,011.39 = 31,776.57 : x
  2. Step 2: Convert to fraction form
    106,656.71/160,011.39 = 31,776.57/x
  3. Step 3: Cross multiply
    106,656.71x = 160,011.39 × 31,776.57
  4. Step 4: Simplify right side
    106,656.71x = 5,084,613,135.13
  5. Step 5: Solve for x
    x = 5,084,613,135.13/106,656.71
  6. Step 6: Final answer
    x = 47,672.70

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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.