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Finding the Fourth Proportional to 54,362.61, 75,020.93 and 30,488.78

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Solution

The fourth proportional to 54,362.61, 75,020.93 and 30,488.78 is: 42,074.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,362.61 : 75,020.93 = 30,488.78 : x
  2. Step 2: Convert to fraction form
    54,362.61/75,020.93 = 30,488.78/x
  3. Step 3: Cross multiply
    54,362.61x = 75,020.93 × 30,488.78
  4. Step 4: Simplify right side
    54,362.61x = 2,287,296,102.62
  5. Step 5: Solve for x
    x = 2,287,296,102.62/54,362.61
  6. Step 6: Final answer
    x = 42,074.80

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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.