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Finding the Fourth Proportional to 55,926.39, 77,178.39 and 30,775.89

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Solution

The fourth proportional to 55,926.39, 77,178.39 and 30,775.89 is: 42,470.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,926.39 : 77,178.39 = 30,775.89 : x
  2. Step 2: Convert to fraction form
    55,926.39/77,178.39 = 30,775.89/x
  3. Step 3: Cross multiply
    55,926.39x = 77,178.39 × 30,775.89
  4. Step 4: Simplify right side
    55,926.39x = 2,375,233,641.02
  5. Step 5: Solve for x
    x = 2,375,233,641.02/55,926.39
  6. Step 6: Final answer
    x = 42,470.71

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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.