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Finding the Fourth Proportional to 56,298, 77,693.70 and 31,147.56

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Solution

The fourth proportional to 56,298, 77,693.70 and 31,147.56 is: 42,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,298 : 77,693.70 = 31,147.56 : x
  2. Step 2: Convert to fraction form
    56,298/77,693.70 = 31,147.56/x
  3. Step 3: Cross multiply
    56,298x = 77,693.70 × 31,147.56
  4. Step 4: Simplify right side
    56,298x = 2,419,969,182.37
  5. Step 5: Solve for x
    x = 2,419,969,182.37/56,298
  6. Step 6: Final answer
    x = 42,984.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.