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Finding the Fourth Proportional to 102,110.22, 140,872.77 and 75,316.23

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Solution

The fourth proportional to 102,110.22, 140,872.77 and 75,316.23 is: 103,907.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,110.22 : 140,872.77 = 75,316.23 : x
  2. Step 2: Convert to fraction form
    102,110.22/140,872.77 = 75,316.23/x
  3. Step 3: Cross multiply
    102,110.22x = 140,872.77 × 75,316.23
  4. Step 4: Simplify right side
    102,110.22x = 10,610,005,946.06
  5. Step 5: Solve for x
    x = 10,610,005,946.06/102,110.22
  6. Step 6: Final answer
    x = 103,907.39

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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.