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Finding the Fourth Proportional to 105,110.89, 157,715.55 and 45,938.88

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Solution

The fourth proportional to 105,110.89, 157,715.55 and 45,938.88 is: 68,929.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,110.89 : 157,715.55 = 45,938.88 : x
  2. Step 2: Convert to fraction form
    105,110.89/157,715.55 = 45,938.88/x
  3. Step 3: Cross multiply
    105,110.89x = 157,715.55 × 45,938.88
  4. Step 4: Simplify right side
    105,110.89x = 7,245,275,725.58
  5. Step 5: Solve for x
    x = 7,245,275,725.58/105,110.89
  6. Step 6: Final answer
    x = 68,929.83

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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.