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Finding the Fourth Proportional to 56,468.70, 77,926.94 and 30,975.30

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Solution

The fourth proportional to 56,468.70, 77,926.94 and 30,975.30 is: 42,745.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,468.70 : 77,926.94 = 30,975.30 : x
  2. Step 2: Convert to fraction form
    56,468.70/77,926.94 = 30,975.30/x
  3. Step 3: Cross multiply
    56,468.70x = 77,926.94 × 30,975.30
  4. Step 4: Simplify right side
    56,468.70x = 2,413,810,189.71
  5. Step 5: Solve for x
    x = 2,413,810,189.71/56,468.70
  6. Step 6: Final answer
    x = 42,745.98

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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.