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Finding the Fourth Proportional to 55,570.94, 76,687.12 and 31,698.01

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Solution

The fourth proportional to 55,570.94, 76,687.12 and 31,698.01 is: 43,742.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,570.94 : 76,687.12 = 31,698.01 : x
  2. Step 2: Convert to fraction form
    55,570.94/76,687.12 = 31,698.01/x
  3. Step 3: Cross multiply
    55,570.94x = 76,687.12 × 31,698.01
  4. Step 4: Simplify right side
    55,570.94x = 2,430,828,882.70
  5. Step 5: Solve for x
    x = 2,430,828,882.70/55,570.94
  6. Step 6: Final answer
    x = 43,742.81

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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.