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Finding the Fourth Proportional to 140,695.50, 211,043.25 and 42,199.50

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Solution

The fourth proportional to 140,695.50, 211,043.25 and 42,199.50 is: 63,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,695.50 : 211,043.25 = 42,199.50 : x
  2. Step 2: Convert to fraction form
    140,695.50/211,043.25 = 42,199.50/x
  3. Step 3: Cross multiply
    140,695.50x = 211,043.25 × 42,199.50
  4. Step 4: Simplify right side
    140,695.50x = 8,905,919,628.38
  5. Step 5: Solve for x
    x = 8,905,919,628.38/140,695.50
  6. Step 6: Final answer
    x = 63,299.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.