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Finding the Fourth Proportional to 70,293.43, 105,428.40 and 30,839.95

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Solution

The fourth proportional to 70,293.43, 105,428.40 and 30,839.95 is: 46,254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,293.43 : 105,428.40 = 30,839.95 : x
  2. Step 2: Convert to fraction form
    70,293.43/105,428.40 = 30,839.95/x
  3. Step 3: Cross multiply
    70,293.43x = 105,428.40 × 30,839.95
  4. Step 4: Simplify right side
    70,293.43x = 3,251,406,584.58
  5. Step 5: Solve for x
    x = 3,251,406,584.58/70,293.43
  6. Step 6: Final answer
    x = 46,254.77

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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.