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Finding the Fourth Proportional to 55,448, 76,518.15 and 31,574.68

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Solution

The fourth proportional to 55,448, 76,518.15 and 31,574.68 is: 43,573.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,448 : 76,518.15 = 31,574.68 : x
  2. Step 2: Convert to fraction form
    55,448/76,518.15 = 31,574.68/x
  3. Step 3: Cross multiply
    55,448x = 76,518.15 × 31,574.68
  4. Step 4: Simplify right side
    55,448x = 2,416,036,100.44
  5. Step 5: Solve for x
    x = 2,416,036,100.44/55,448
  6. Step 6: Final answer
    x = 43,573.01

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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.