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Finding the Fourth Proportional to 56,451.44, 77,904.06 and 30,956.29

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Solution

The fourth proportional to 56,451.44, 77,904.06 and 30,956.29 is: 42,720.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,451.44 : 77,904.06 = 30,956.29 : x
  2. Step 2: Convert to fraction form
    56,451.44/77,904.06 = 30,956.29/x
  3. Step 3: Cross multiply
    56,451.44x = 77,904.06 × 30,956.29
  4. Step 4: Simplify right side
    56,451.44x = 2,411,620,408.85
  5. Step 5: Solve for x
    x = 2,411,620,408.85/56,451.44
  6. Step 6: Final answer
    x = 42,720.26

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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.