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Finding the Fourth Proportional to 75,686.63, 104,450.78 and 42,152.63

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Solution

The fourth proportional to 75,686.63, 104,450.78 and 42,152.63 is: 58,172.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,686.63 : 104,450.78 = 42,152.63 : x
  2. Step 2: Convert to fraction form
    75,686.63/104,450.78 = 42,152.63/x
  3. Step 3: Cross multiply
    75,686.63x = 104,450.78 × 42,152.63
  4. Step 4: Simplify right side
    75,686.63x = 4,402,874,665.68
  5. Step 5: Solve for x
    x = 4,402,874,665.68/75,686.63
  6. Step 6: Final answer
    x = 58,172.43

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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.