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Finding the Fourth Proportional to 70,180.74, 105,277.72 and 19,583.12

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Solution

The fourth proportional to 70,180.74, 105,277.72 and 19,583.12 is: 29,376.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,180.74 : 105,277.72 = 19,583.12 : x
  2. Step 2: Convert to fraction form
    70,180.74/105,277.72 = 19,583.12/x
  3. Step 3: Cross multiply
    70,180.74x = 105,277.72 × 19,583.12
  4. Step 4: Simplify right side
    70,180.74x = 2,061,666,224.09
  5. Step 5: Solve for x
    x = 2,061,666,224.09/70,180.74
  6. Step 6: Final answer
    x = 29,376.52

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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.