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Finding the Fourth Proportional to 127,625.72, 191,427.65 and 77,692.87

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Solution

The fourth proportional to 127,625.72, 191,427.65 and 77,692.87 is: 116,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,625.72 : 191,427.65 = 77,692.87 : x
  2. Step 2: Convert to fraction form
    127,625.72/191,427.65 = 77,692.87/x
  3. Step 3: Cross multiply
    127,625.72x = 191,427.65 × 77,692.87
  4. Step 4: Simplify right side
    127,625.72x = 14,872,562,180.25
  5. Step 5: Solve for x
    x = 14,872,562,180.25/127,625.72
  6. Step 6: Final answer
    x = 116,532.64

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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.