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Finding the Fourth Proportional to 103,965, 155,973.48 and 30,093

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Solution

The fourth proportional to 103,965, 155,973.48 and 30,093 is: 45,147.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,965 : 155,973.48 = 30,093 : x
  2. Step 2: Convert to fraction form
    103,965/155,973.48 = 30,093/x
  3. Step 3: Cross multiply
    103,965x = 155,973.48 × 30,093
  4. Step 4: Simplify right side
    103,965x = 4,693,709,933.64
  5. Step 5: Solve for x
    x = 4,693,709,933.64/103,965
  6. Step 6: Final answer
    x = 45,147.02

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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.