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Finding the Fourth Proportional to 146,489.80, 219,770.70 and 41,307.40

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Solution

The fourth proportional to 146,489.80, 219,770.70 and 41,307.40 is: 61,971.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,489.80 : 219,770.70 = 41,307.40 : x
  2. Step 2: Convert to fraction form
    146,489.80/219,770.70 = 41,307.40/x
  3. Step 3: Cross multiply
    146,489.80x = 219,770.70 × 41,307.40
  4. Step 4: Simplify right side
    146,489.80x = 9,078,156,213.18
  5. Step 5: Solve for x
    x = 9,078,156,213.18/146,489.80
  6. Step 6: Final answer
    x = 61,971.25

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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.