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Finding the Fourth Proportional to 51,702.71, 77,529.84 and 21,710.54

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Solution

The fourth proportional to 51,702.71, 77,529.84 and 21,710.54 is: 32,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,702.71 : 77,529.84 = 21,710.54 : x
  2. Step 2: Convert to fraction form
    51,702.71/77,529.84 = 21,710.54/x
  3. Step 3: Cross multiply
    51,702.71x = 77,529.84 × 21,710.54
  4. Step 4: Simplify right side
    51,702.71x = 1,683,214,692.51
  5. Step 5: Solve for x
    x = 1,683,214,692.51/51,702.71
  6. Step 6: Final answer
    x = 32,555.64

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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.