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Finding the Fourth Proportional to 70,283.50, 105,422.52 and 30,841

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Solution

The fourth proportional to 70,283.50, 105,422.52 and 30,841 is: 46,260.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,283.50 : 105,422.52 = 30,841 : x
  2. Step 2: Convert to fraction form
    70,283.50/105,422.52 = 30,841/x
  3. Step 3: Cross multiply
    70,283.50x = 105,422.52 × 30,841
  4. Step 4: Simplify right side
    70,283.50x = 3,251,335,939.32
  5. Step 5: Solve for x
    x = 3,251,335,939.32/70,283.50
  6. Step 6: Final answer
    x = 46,260.30

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1.5x scale

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.