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Finding the Fourth Proportional to 56,617.68, 78,135 and 31,465.68

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Solution

The fourth proportional to 56,617.68, 78,135 and 31,465.68 is: 43,424.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,617.68 : 78,135 = 31,465.68 : x
  2. Step 2: Convert to fraction form
    56,617.68/78,135 = 31,465.68/x
  3. Step 3: Cross multiply
    56,617.68x = 78,135 × 31,465.68
  4. Step 4: Simplify right side
    56,617.68x = 2,458,570,906.80
  5. Step 5: Solve for x
    x = 2,458,570,906.80/56,617.68
  6. Step 6: Final answer
    x = 43,424.08

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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.