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Finding the Fourth Proportional to 100,235.58, 138,009.51 and 85,098.30

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Solution

The fourth proportional to 100,235.58, 138,009.51 and 85,098.30 is: 117,167.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,235.58 : 138,009.51 = 85,098.30 : x
  2. Step 2: Convert to fraction form
    100,235.58/138,009.51 = 85,098.30/x
  3. Step 3: Cross multiply
    100,235.58x = 138,009.51 × 85,098.30
  4. Step 4: Simplify right side
    100,235.58x = 11,744,374,684.83
  5. Step 5: Solve for x
    x = 11,744,374,684.83/100,235.58
  6. Step 6: Final answer
    x = 117,167.72

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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.