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Finding the Fourth Proportional to 56,274.66, 77,655.88 and 30,775.94

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Solution

The fourth proportional to 56,274.66, 77,655.88 and 30,775.94 is: 42,469.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,274.66 : 77,655.88 = 30,775.94 : x
  2. Step 2: Convert to fraction form
    56,274.66/77,655.88 = 30,775.94/x
  3. Step 3: Cross multiply
    56,274.66x = 77,655.88 × 30,775.94
  4. Step 4: Simplify right side
    56,274.66x = 2,389,932,703.53
  5. Step 5: Solve for x
    x = 2,389,932,703.53/56,274.66
  6. Step 6: Final answer
    x = 42,469.07

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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.