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Finding the Fourth Proportional to 56,516.94, 77,994.32 and 31,025.70

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Solution

The fourth proportional to 56,516.94, 77,994.32 and 31,025.70 is: 42,815.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,516.94 : 77,994.32 = 31,025.70 : x
  2. Step 2: Convert to fraction form
    56,516.94/77,994.32 = 31,025.70/x
  3. Step 3: Cross multiply
    56,516.94x = 77,994.32 × 31,025.70
  4. Step 4: Simplify right side
    56,516.94x = 2,419,828,374.02
  5. Step 5: Solve for x
    x = 2,419,828,374.02/56,516.94
  6. Step 6: Final answer
    x = 42,815.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.