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Finding the Fourth Proportional to 102,026.76, 140,813.64 and 85,004.01

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Solution

The fourth proportional to 102,026.76, 140,813.64 and 85,004.01 is: 117,319.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,026.76 : 140,813.64 = 85,004.01 : x
  2. Step 2: Convert to fraction form
    102,026.76/140,813.64 = 85,004.01/x
  3. Step 3: Cross multiply
    102,026.76x = 140,813.64 × 85,004.01
  4. Step 4: Simplify right side
    102,026.76x = 11,969,724,062.70
  5. Step 5: Solve for x
    x = 11,969,724,062.70/102,026.76
  6. Step 6: Final answer
    x = 117,319.46

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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.