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Finding the Fourth Proportional to 70,313.43, 105,458.40 and 30,859.95

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Solution

The fourth proportional to 70,313.43, 105,458.40 and 30,859.95 is: 46,284.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,313.43 : 105,458.40 = 30,859.95 : x
  2. Step 2: Convert to fraction form
    70,313.43/105,458.40 = 30,859.95/x
  3. Step 3: Cross multiply
    70,313.43x = 105,458.40 × 30,859.95
  4. Step 4: Simplify right side
    70,313.43x = 3,254,440,951.08
  5. Step 5: Solve for x
    x = 3,254,440,951.08/70,313.43
  6. Step 6: Final answer
    x = 46,284.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.