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Finding the Fourth Proportional to 30,961.80, 46,539.90 and 30,378.60

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Solution

The fourth proportional to 30,961.80, 46,539.90 and 30,378.60 is: 45,663.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,961.80 : 46,539.90 = 30,378.60 : x
  2. Step 2: Convert to fraction form
    30,961.80/46,539.90 = 30,378.60/x
  3. Step 3: Cross multiply
    30,961.80x = 46,539.90 × 30,378.60
  4. Step 4: Simplify right side
    30,961.80x = 1,413,817,006.14
  5. Step 5: Solve for x
    x = 1,413,817,006.14/30,961.80
  6. Step 6: Final answer
    x = 45,663.27

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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.