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Finding the Fourth Proportional to 52,308.82, 78,472.05 and 20,702.21

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Solution

The fourth proportional to 52,308.82, 78,472.05 and 20,702.21 is: 31,056.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,308.82 : 78,472.05 = 20,702.21 : x
  2. Step 2: Convert to fraction form
    52,308.82/78,472.05 = 20,702.21/x
  3. Step 3: Cross multiply
    52,308.82x = 78,472.05 × 20,702.21
  4. Step 4: Simplify right side
    52,308.82x = 1,624,545,054.41
  5. Step 5: Solve for x
    x = 1,624,545,054.41/52,308.82
  6. Step 6: Final answer
    x = 31,056.81

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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.