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Finding the Fourth Proportional to 55,874.49, 77,106.79 and 30,723.99

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Solution

The fourth proportional to 55,874.49, 77,106.79 and 30,723.99 is: 42,399.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,874.49 : 77,106.79 = 30,723.99 : x
  2. Step 2: Convert to fraction form
    55,874.49/77,106.79 = 30,723.99/x
  3. Step 3: Cross multiply
    55,874.49x = 77,106.79 × 30,723.99
  4. Step 4: Simplify right side
    55,874.49x = 2,369,027,859.36
  5. Step 5: Solve for x
    x = 2,369,027,859.36/55,874.49
  6. Step 6: Final answer
    x = 42,399.10

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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.