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Finding the Fourth Proportional to 106,917, 147,375.48 and 84,220.06

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Solution

The fourth proportional to 106,917, 147,375.48 and 84,220.06 is: 116,089.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,917 : 147,375.48 = 84,220.06 : x
  2. Step 2: Convert to fraction form
    106,917/147,375.48 = 84,220.06/x
  3. Step 3: Cross multiply
    106,917x = 147,375.48 × 84,220.06
  4. Step 4: Simplify right side
    106,917x = 12,411,971,768.13
  5. Step 5: Solve for x
    x = 12,411,971,768.13/106,917
  6. Step 6: Final answer
    x = 116,089.79

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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.