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Finding the Fourth Proportional to 102,149.75, 140,966.66 and 57,437.75

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Solution

The fourth proportional to 102,149.75, 140,966.66 and 57,437.75 is: 79,264.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,149.75 : 140,966.66 = 57,437.75 : x
  2. Step 2: Convert to fraction form
    102,149.75/140,966.66 = 57,437.75/x
  3. Step 3: Cross multiply
    102,149.75x = 140,966.66 × 57,437.75
  4. Step 4: Simplify right side
    102,149.75x = 8,096,807,775.42
  5. Step 5: Solve for x
    x = 8,096,807,775.42/102,149.75
  6. Step 6: Final answer
    x = 79,264.10

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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.