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Finding the Fourth Proportional to 56,425.68, 77,863.24 and 30,927.96

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Solution

The fourth proportional to 56,425.68, 77,863.24 and 30,927.96 is: 42,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,425.68 : 77,863.24 = 30,927.96 : x
  2. Step 2: Convert to fraction form
    56,425.68/77,863.24 = 30,927.96/x
  3. Step 3: Cross multiply
    56,425.68x = 77,863.24 × 30,927.96
  4. Step 4: Simplify right side
    56,425.68x = 2,408,151,172.19
  5. Step 5: Solve for x
    x = 2,408,151,172.19/56,425.68
  6. Step 6: Final answer
    x = 42,678.28

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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.