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Finding the Fourth Proportional to 61,029.72, 91,457.10 and 34,678.80

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Solution

The fourth proportional to 61,029.72, 91,457.10 and 34,678.80 is: 51,968.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,029.72 : 91,457.10 = 34,678.80 : x
  2. Step 2: Convert to fraction form
    61,029.72/91,457.10 = 34,678.80/x
  3. Step 3: Cross multiply
    61,029.72x = 91,457.10 × 34,678.80
  4. Step 4: Simplify right side
    61,029.72x = 3,171,622,479.48
  5. Step 5: Solve for x
    x = 3,171,622,479.48/61,029.72
  6. Step 6: Final answer
    x = 51,968.49

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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.