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Finding the Fourth Proportional to 56,286, 77,674.68 and 31,137.12

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Solution

The fourth proportional to 56,286, 77,674.68 and 31,137.12 is: 42,969.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,286 : 77,674.68 = 31,137.12 : x
  2. Step 2: Convert to fraction form
    56,286/77,674.68 = 31,137.12/x
  3. Step 3: Cross multiply
    56,286x = 77,674.68 × 31,137.12
  4. Step 4: Simplify right side
    56,286x = 2,418,565,832.12
  5. Step 5: Solve for x
    x = 2,418,565,832.12/56,286
  6. Step 6: Final answer
    x = 42,969.23

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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.