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Finding the Fourth Proportional to 56,314, 77,713.32 and 31,167.28

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Solution

The fourth proportional to 56,314, 77,713.32 and 31,167.28 is: 43,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,314 : 77,713.32 = 31,167.28 : x
  2. Step 2: Convert to fraction form
    56,314/77,713.32 = 31,167.28/x
  3. Step 3: Cross multiply
    56,314x = 77,713.32 × 31,167.28
  4. Step 4: Simplify right side
    56,314x = 2,422,112,804.17
  5. Step 5: Solve for x
    x = 2,422,112,804.17/56,314
  6. Step 6: Final answer
    x = 43,010.85

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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.