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Finding the Fourth Proportional to 51,270.40, 76,905.60 and 31,484.80

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Solution

The fourth proportional to 51,270.40, 76,905.60 and 31,484.80 is: 47,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,270.40 : 76,905.60 = 31,484.80 : x
  2. Step 2: Convert to fraction form
    51,270.40/76,905.60 = 31,484.80/x
  3. Step 3: Cross multiply
    51,270.40x = 76,905.60 × 31,484.80
  4. Step 4: Simplify right side
    51,270.40x = 2,421,357,434.88
  5. Step 5: Solve for x
    x = 2,421,357,434.88/51,270.40
  6. Step 6: Final answer
    x = 47,227.20

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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.