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Finding the Fourth Proportional to 105,375.87, 157,888.31 and 74,145.51

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Solution

The fourth proportional to 105,375.87, 157,888.31 and 74,145.51 is: 111,094.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,375.87 : 157,888.31 = 74,145.51 : x
  2. Step 2: Convert to fraction form
    105,375.87/157,888.31 = 74,145.51/x
  3. Step 3: Cross multiply
    105,375.87x = 157,888.31 × 74,145.51
  4. Step 4: Simplify right side
    105,375.87x = 11,706,708,897.26
  5. Step 5: Solve for x
    x = 11,706,708,897.26/105,375.87
  6. Step 6: Final answer
    x = 111,094.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.