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Finding the Fourth Proportional to 51,798.64, 77,709.34 and 30,757.90

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Solution

The fourth proportional to 51,798.64, 77,709.34 and 30,757.90 is: 46,143.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,798.64 : 77,709.34 = 30,757.90 : x
  2. Step 2: Convert to fraction form
    51,798.64/77,709.34 = 30,757.90/x
  3. Step 3: Cross multiply
    51,798.64x = 77,709.34 × 30,757.90
  4. Step 4: Simplify right side
    51,798.64x = 2,390,176,108.79
  5. Step 5: Solve for x
    x = 2,390,176,108.79/51,798.64
  6. Step 6: Final answer
    x = 46,143.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.