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Finding the Fourth Proportional to 70,490.88, 105,685.92 and 33,030

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Solution

The fourth proportional to 70,490.88, 105,685.92 and 33,030 is: 49,521.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,490.88 : 105,685.92 = 33,030 : x
  2. Step 2: Convert to fraction form
    70,490.88/105,685.92 = 33,030/x
  3. Step 3: Cross multiply
    70,490.88x = 105,685.92 × 33,030
  4. Step 4: Simplify right side
    70,490.88x = 3,490,805,937.60
  5. Step 5: Solve for x
    x = 3,490,805,937.60/70,490.88
  6. Step 6: Final answer
    x = 49,521.38

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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.