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Finding the Fourth Proportional to 73,575.76, 110,361.28 and 20,985.24

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Solution

The fourth proportional to 73,575.76, 110,361.28 and 20,985.24 is: 31,477.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,575.76 : 110,361.28 = 20,985.24 : x
  2. Step 2: Convert to fraction form
    73,575.76/110,361.28 = 20,985.24/x
  3. Step 3: Cross multiply
    73,575.76x = 110,361.28 × 20,985.24
  4. Step 4: Simplify right side
    73,575.76x = 2,315,957,947.51
  5. Step 5: Solve for x
    x = 2,315,957,947.51/73,575.76
  6. Step 6: Final answer
    x = 31,477.19

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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.