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Finding the Fourth Proportional to 51,497.56, 77,290.06 and 20,354.68

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Solution

The fourth proportional to 51,497.56, 77,290.06 and 20,354.68 is: 30,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,497.56 : 77,290.06 = 20,354.68 : x
  2. Step 2: Convert to fraction form
    51,497.56/77,290.06 = 20,354.68/x
  3. Step 3: Cross multiply
    51,497.56x = 77,290.06 × 20,354.68
  4. Step 4: Simplify right side
    51,497.56x = 1,573,214,438.48
  5. Step 5: Solve for x
    x = 1,573,214,438.48/51,497.56
  6. Step 6: Final answer
    x = 30,549.30

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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.