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Finding the Fourth Proportional to 56,806.12, 78,393 and 31,313.49

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Solution

The fourth proportional to 56,806.12, 78,393 and 31,313.49 is: 43,212.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,806.12 : 78,393 = 31,313.49 : x
  2. Step 2: Convert to fraction form
    56,806.12/78,393 = 31,313.49/x
  3. Step 3: Cross multiply
    56,806.12x = 78,393 × 31,313.49
  4. Step 4: Simplify right side
    56,806.12x = 2,454,758,421.57
  5. Step 5: Solve for x
    x = 2,454,758,421.57/56,806.12
  6. Step 6: Final answer
    x = 43,212.92

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1.5x scale

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.