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Finding the Fourth Proportional to 56,287.59, 77,675.81 and 31,137.09

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Solution

The fourth proportional to 56,287.59, 77,675.81 and 31,137.09 is: 42,968.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,287.59 : 77,675.81 = 31,137.09 : x
  2. Step 2: Convert to fraction form
    56,287.59/77,675.81 = 31,137.09/x
  3. Step 3: Cross multiply
    56,287.59x = 77,675.81 × 31,137.09
  4. Step 4: Simplify right side
    56,287.59x = 2,418,598,531.11
  5. Step 5: Solve for x
    x = 2,418,598,531.11/56,287.59
  6. Step 6: Final answer
    x = 42,968.59

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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.