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Finding the Fourth Proportional to 51,506.64, 77,119.44 and 38,988.80

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Solution

The fourth proportional to 51,506.64, 77,119.44 and 38,988.80 is: 58,376.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,506.64 : 77,119.44 = 38,988.80 : x
  2. Step 2: Convert to fraction form
    51,506.64/77,119.44 = 38,988.80/x
  3. Step 3: Cross multiply
    51,506.64x = 77,119.44 × 38,988.80
  4. Step 4: Simplify right side
    51,506.64x = 3,006,794,422.27
  5. Step 5: Solve for x
    x = 3,006,794,422.27/51,506.64
  6. Step 6: Final answer
    x = 58,376.83

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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.