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Finding the Fourth Proportional to 56,196, 77,551.20 and 31,047.84

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Solution

The fourth proportional to 56,196, 77,551.20 and 31,047.84 is: 42,846.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,196 : 77,551.20 = 31,047.84 : x
  2. Step 2: Convert to fraction form
    56,196/77,551.20 = 31,047.84/x
  3. Step 3: Cross multiply
    56,196x = 77,551.20 × 31,047.84
  4. Step 4: Simplify right side
    56,196x = 2,407,797,249.41
  5. Step 5: Solve for x
    x = 2,407,797,249.41/56,196
  6. Step 6: Final answer
    x = 42,846.42

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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.