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Finding the Fourth Proportional to 140,354.98, 193,690.36 and 76,692.77

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Solution

The fourth proportional to 140,354.98, 193,690.36 and 76,692.77 is: 105,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,354.98 : 193,690.36 = 76,692.77 : x
  2. Step 2: Convert to fraction form
    140,354.98/193,690.36 = 76,692.77/x
  3. Step 3: Cross multiply
    140,354.98x = 193,690.36 × 76,692.77
  4. Step 4: Simplify right side
    140,354.98x = 14,854,651,389.66
  5. Step 5: Solve for x
    x = 14,854,651,389.66/140,354.98
  6. Step 6: Final answer
    x = 105,836.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.