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Finding the Fourth Proportional to 70,376.31, 105,569.57 and 19,782.81

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Solution

The fourth proportional to 70,376.31, 105,569.57 and 19,782.81 is: 29,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,376.31 : 105,569.57 = 19,782.81 : x
  2. Step 2: Convert to fraction form
    70,376.31/105,569.57 = 19,782.81/x
  3. Step 3: Cross multiply
    70,376.31x = 105,569.57 × 19,782.81
  4. Step 4: Simplify right side
    70,376.31x = 2,088,462,794.55
  5. Step 5: Solve for x
    x = 2,088,462,794.55/70,376.31
  6. Step 6: Final answer
    x = 29,675.65

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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.