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Finding the Fourth Proportional to 105,115, 145,061.76 and 57,371.40

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Solution

The fourth proportional to 105,115, 145,061.76 and 57,371.40 is: 79,174.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,115 : 145,061.76 = 57,371.40 : x
  2. Step 2: Convert to fraction form
    105,115/145,061.76 = 57,371.40/x
  3. Step 3: Cross multiply
    105,115x = 145,061.76 × 57,371.40
  4. Step 4: Simplify right side
    105,115x = 8,322,396,257.66
  5. Step 5: Solve for x
    x = 8,322,396,257.66/105,115
  6. Step 6: Final answer
    x = 79,174.20

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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.