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Finding the Fourth Proportional to 169,780.25, 254,692.25 and 51,430.75

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Solution

The fourth proportional to 169,780.25, 254,692.25 and 51,430.75 is: 77,152.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,780.25 : 254,692.25 = 51,430.75 : x
  2. Step 2: Convert to fraction form
    169,780.25/254,692.25 = 51,430.75/x
  3. Step 3: Cross multiply
    169,780.25x = 254,692.25 × 51,430.75
  4. Step 4: Simplify right side
    169,780.25x = 13,099,012,735.67
  5. Step 5: Solve for x
    x = 13,099,012,735.67/169,780.25
  6. Step 6: Final answer
    x = 77,152.75

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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.