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Finding the Fourth Proportional to 100,217.22, 137,985.03 and 85,078.50

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Solution

The fourth proportional to 100,217.22, 137,985.03 and 85,078.50 is: 117,141.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,217.22 : 137,985.03 = 85,078.50 : x
  2. Step 2: Convert to fraction form
    100,217.22/137,985.03 = 85,078.50/x
  3. Step 3: Cross multiply
    100,217.22x = 137,985.03 × 85,078.50
  4. Step 4: Simplify right side
    100,217.22x = 11,739,559,374.86
  5. Step 5: Solve for x
    x = 11,739,559,374.86/100,217.22
  6. Step 6: Final answer
    x = 117,141.14

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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.