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Finding the Fourth Proportional to 69,089, 103,094.66 and 61,642.26

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Solution

The fourth proportional to 69,089, 103,094.66 and 61,642.26 is: 91,982.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,089 : 103,094.66 = 61,642.26 : x
  2. Step 2: Convert to fraction form
    69,089/103,094.66 = 61,642.26/x
  3. Step 3: Cross multiply
    69,089x = 103,094.66 × 61,642.26
  4. Step 4: Simplify right side
    69,089x = 6,354,987,836.33
  5. Step 5: Solve for x
    x = 6,354,987,836.33/69,089
  6. Step 6: Final answer
    x = 91,982.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.