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Finding the Fourth Proportional to 56,891.88, 78,510.36 and 31,741.32

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Solution

The fourth proportional to 56,891.88, 78,510.36 and 31,741.32 is: 43,802.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,891.88 : 78,510.36 = 31,741.32 : x
  2. Step 2: Convert to fraction form
    56,891.88/78,510.36 = 31,741.32/x
  3. Step 3: Cross multiply
    56,891.88x = 78,510.36 × 31,741.32
  4. Step 4: Simplify right side
    56,891.88x = 2,492,022,460.08
  5. Step 5: Solve for x
    x = 2,492,022,460.08/56,891.88
  6. Step 6: Final answer
    x = 43,802.78

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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.