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Finding the Fourth Proportional to 100,175.56, 138,253.31 and 63,878.34

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Solution

The fourth proportional to 100,175.56, 138,253.31 and 63,878.34 is: 88,159.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,175.56 : 138,253.31 = 63,878.34 : x
  2. Step 2: Convert to fraction form
    100,175.56/138,253.31 = 63,878.34/x
  3. Step 3: Cross multiply
    100,175.56x = 138,253.31 × 63,878.34
  4. Step 4: Simplify right side
    100,175.56x = 8,831,391,942.31
  5. Step 5: Solve for x
    x = 8,831,391,942.31/100,175.56
  6. Step 6: Final answer
    x = 88,159.15

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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.