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Finding the Fourth Proportional to 149,246.70, 223,870.05 and 140,693.10

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Solution

The fourth proportional to 149,246.70, 223,870.05 and 140,693.10 is: 211,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,246.70 : 223,870.05 = 140,693.10 : x
  2. Step 2: Convert to fraction form
    149,246.70/223,870.05 = 140,693.10/x
  3. Step 3: Cross multiply
    149,246.70x = 223,870.05 × 140,693.10
  4. Step 4: Simplify right side
    149,246.70x = 31,496,971,331.66
  5. Step 5: Solve for x
    x = 31,496,971,331.66/149,246.70
  6. Step 6: Final answer
    x = 211,039.65

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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.