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Finding the Fourth Proportional to 77,157.36, 115,740 and 21,757.68

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Solution

The fourth proportional to 77,157.36, 115,740 and 21,757.68 is: 32,637.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,157.36 : 115,740 = 21,757.68 : x
  2. Step 2: Convert to fraction form
    77,157.36/115,740 = 21,757.68/x
  3. Step 3: Cross multiply
    77,157.36x = 115,740 × 21,757.68
  4. Step 4: Simplify right side
    77,157.36x = 2,518,233,883.20
  5. Step 5: Solve for x
    x = 2,518,233,883.20/77,157.36
  6. Step 6: Final answer
    x = 32,637.64

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