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Finding the Fourth Proportional to 106,918.50, 147,377.55 and 84,221.55

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Solution

The fourth proportional to 106,918.50, 147,377.55 and 84,221.55 is: 116,091.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,918.50 : 147,377.55 = 84,221.55 : x
  2. Step 2: Convert to fraction form
    106,918.50/147,377.55 = 84,221.55/x
  3. Step 3: Cross multiply
    106,918.50x = 147,377.55 × 84,221.55
  4. Step 4: Simplify right side
    106,918.50x = 12,412,365,696.20
  5. Step 5: Solve for x
    x = 12,412,365,696.20/106,918.50
  6. Step 6: Final answer
    x = 116,091.84

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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.