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Finding the Fourth Proportional to 58,643.87, 80,928.07 and 31,785.68

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Solution

The fourth proportional to 58,643.87, 80,928.07 and 31,785.68 is: 43,863.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,643.87 : 80,928.07 = 31,785.68 : x
  2. Step 2: Convert to fraction form
    58,643.87/80,928.07 = 31,785.68/x
  3. Step 3: Cross multiply
    58,643.87x = 80,928.07 × 31,785.68
  4. Step 4: Simplify right side
    58,643.87x = 2,572,353,858.89
  5. Step 5: Solve for x
    x = 2,572,353,858.89/58,643.87
  6. Step 6: Final answer
    x = 43,863.99

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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.