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Finding the Fourth Proportional to 56,646.38, 78,174 and 31,153.80

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Solution

The fourth proportional to 56,646.38, 78,174 and 31,153.80 is: 42,993.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,646.38 : 78,174 = 31,153.80 : x
  2. Step 2: Convert to fraction form
    56,646.38/78,174 = 31,153.80/x
  3. Step 3: Cross multiply
    56,646.38x = 78,174 × 31,153.80
  4. Step 4: Simplify right side
    56,646.38x = 2,435,417,161.20
  5. Step 5: Solve for x
    x = 2,435,417,161.20/56,646.38
  6. Step 6: Final answer
    x = 42,993.34

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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.