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Finding the Fourth Proportional to 56,296.68, 77,690.16 and 31,146

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Solution

The fourth proportional to 56,296.68, 77,690.16 and 31,146 is: 42,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,296.68 : 77,690.16 = 31,146 : x
  2. Step 2: Convert to fraction form
    56,296.68/77,690.16 = 31,146/x
  3. Step 3: Cross multiply
    56,296.68x = 77,690.16 × 31,146
  4. Step 4: Simplify right side
    56,296.68x = 2,419,737,723.36
  5. Step 5: Solve for x
    x = 2,419,737,723.36/56,296.68
  6. Step 6: Final answer
    x = 42,981.89

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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.