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Finding the Fourth Proportional to 218,093.40, 301,000.32 and 141,840

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Solution

The fourth proportional to 218,093.40, 301,000.32 and 141,840 is: 195,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,093.40 : 301,000.32 = 141,840 : x
  2. Step 2: Convert to fraction form
    218,093.40/301,000.32 = 141,840/x
  3. Step 3: Cross multiply
    218,093.40x = 301,000.32 × 141,840
  4. Step 4: Simplify right side
    218,093.40x = 42,693,885,388.80
  5. Step 5: Solve for x
    x = 42,693,885,388.80/218,093.40
  6. Step 6: Final answer
    x = 195,759.64

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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.