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Finding the Fourth Proportional to 136,692.20, 205,038.30 and 77,643.20

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Solution

The fourth proportional to 136,692.20, 205,038.30 and 77,643.20 is: 116,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,692.20 : 205,038.30 = 77,643.20 : x
  2. Step 2: Convert to fraction form
    136,692.20/205,038.30 = 77,643.20/x
  3. Step 3: Cross multiply
    136,692.20x = 205,038.30 × 77,643.20
  4. Step 4: Simplify right side
    136,692.20x = 15,919,829,734.56
  5. Step 5: Solve for x
    x = 15,919,829,734.56/136,692.20
  6. Step 6: Final answer
    x = 116,464.80

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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.