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Finding the Fourth Proportional to 105,696.84, 145,861.64 and 57,950.52

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Solution

The fourth proportional to 105,696.84, 145,861.64 and 57,950.52 is: 79,971.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,696.84 : 145,861.64 = 57,950.52 : x
  2. Step 2: Convert to fraction form
    105,696.84/145,861.64 = 57,950.52/x
  3. Step 3: Cross multiply
    105,696.84x = 145,861.64 × 57,950.52
  4. Step 4: Simplify right side
    105,696.84x = 8,452,757,886.05
  5. Step 5: Solve for x
    x = 8,452,757,886.05/105,696.84
  6. Step 6: Final answer
    x = 79,971.72

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Why These Related Problems?

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