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Finding the Fourth Proportional to 102,070.90, 140,865.72 and 61,236.56

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Solution

The fourth proportional to 102,070.90, 140,865.72 and 61,236.56 is: 84,511.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,070.90 : 140,865.72 = 61,236.56 : x
  2. Step 2: Convert to fraction form
    102,070.90/140,865.72 = 61,236.56/x
  3. Step 3: Cross multiply
    102,070.90x = 140,865.72 × 61,236.56
  4. Step 4: Simplify right side
    102,070.90x = 8,626,131,410.39
  5. Step 5: Solve for x
    x = 8,626,131,410.39/102,070.90
  6. Step 6: Final answer
    x = 84,511.17

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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.