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Finding the Fourth Proportional to 105,711.14, 145,881.27 and 57,965.29

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Solution

The fourth proportional to 105,711.14, 145,881.27 and 57,965.29 is: 79,992.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,711.14 : 145,881.27 = 57,965.29 : x
  2. Step 2: Convert to fraction form
    105,711.14/145,881.27 = 57,965.29/x
  3. Step 3: Cross multiply
    105,711.14x = 145,881.27 × 57,965.29
  4. Step 4: Simplify right side
    105,711.14x = 8,456,049,756.42
  5. Step 5: Solve for x
    x = 8,456,049,756.42/105,711.14
  6. Step 6: Final answer
    x = 79,992.04

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.