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Finding the Fourth Proportional to 55,807.87, 77,015.43 and 30,314.47

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Solution

The fourth proportional to 55,807.87, 77,015.43 and 30,314.47 is: 41,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,807.87 : 77,015.43 = 30,314.47 : x
  2. Step 2: Convert to fraction form
    55,807.87/77,015.43 = 30,314.47/x
  3. Step 3: Cross multiply
    55,807.87x = 77,015.43 × 30,314.47
  4. Step 4: Simplify right side
    55,807.87x = 2,334,681,942.27
  5. Step 5: Solve for x
    x = 2,334,681,942.27/55,807.87
  6. Step 6: Final answer
    x = 41,834.28

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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.