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Finding the Fourth Proportional to 54,985.50, 75,879.99 and 29,835

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Solution

The fourth proportional to 54,985.50, 75,879.99 and 29,835 is: 41,172.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,985.50 : 75,879.99 = 29,835 : x
  2. Step 2: Convert to fraction form
    54,985.50/75,879.99 = 29,835/x
  3. Step 3: Cross multiply
    54,985.50x = 75,879.99 × 29,835
  4. Step 4: Simplify right side
    54,985.50x = 2,263,879,501.65
  5. Step 5: Solve for x
    x = 2,263,879,501.65/54,985.50
  6. Step 6: Final answer
    x = 41,172.30

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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.