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Finding the Fourth Proportional to 102,040.51, 140,815.16 and 57,328.51

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Solution

The fourth proportional to 102,040.51, 140,815.16 and 57,328.51 is: 79,112.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,040.51 : 140,815.16 = 57,328.51 : x
  2. Step 2: Convert to fraction form
    102,040.51/140,815.16 = 57,328.51/x
  3. Step 3: Cross multiply
    102,040.51x = 140,815.16 × 57,328.51
  4. Step 4: Simplify right side
    102,040.51x = 8,072,723,021.57
  5. Step 5: Solve for x
    x = 8,072,723,021.57/102,040.51
  6. Step 6: Final answer
    x = 79,112.92

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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.