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Finding the Fourth Proportional to 55,678.44, 76,839.12 and 31,807.76

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Solution

The fourth proportional to 55,678.44, 76,839.12 and 31,807.76 is: 43,896.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,678.44 : 76,839.12 = 31,807.76 : x
  2. Step 2: Convert to fraction form
    55,678.44/76,839.12 = 31,807.76/x
  3. Step 3: Cross multiply
    55,678.44x = 76,839.12 × 31,807.76
  4. Step 4: Simplify right side
    55,678.44x = 2,444,080,287.57
  5. Step 5: Solve for x
    x = 2,444,080,287.57/55,678.44
  6. Step 6: Final answer
    x = 43,896.35

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1.5x scale

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.