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Finding the Fourth Proportional to 141,102.54, 194,720.49 and 76,570.38

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Solution

The fourth proportional to 141,102.54, 194,720.49 and 76,570.38 is: 105,666.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,102.54 : 194,720.49 = 76,570.38 : x
  2. Step 2: Convert to fraction form
    141,102.54/194,720.49 = 76,570.38/x
  3. Step 3: Cross multiply
    141,102.54x = 194,720.49 × 76,570.38
  4. Step 4: Simplify right side
    141,102.54x = 14,909,821,913.09
  5. Step 5: Solve for x
    x = 14,909,821,913.09/141,102.54
  6. Step 6: Final answer
    x = 105,666.57

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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.