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Finding the Fourth Proportional to 102,083.76, 140,872.80 and 56,760.72

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Solution

The fourth proportional to 102,083.76, 140,872.80 and 56,760.72 is: 78,328.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,083.76 : 140,872.80 = 56,760.72 : x
  2. Step 2: Convert to fraction form
    102,083.76/140,872.80 = 56,760.72/x
  3. Step 3: Cross multiply
    102,083.76x = 140,872.80 × 56,760.72
  4. Step 4: Simplify right side
    102,083.76x = 7,996,041,556.42
  5. Step 5: Solve for x
    x = 7,996,041,556.42/102,083.76
  6. Step 6: Final answer
    x = 78,328.24

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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.