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Finding the Fourth Proportional to 183,298.94, 274,973.01 and 78,142.51

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Solution

The fourth proportional to 183,298.94, 274,973.01 and 78,142.51 is: 117,224.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,298.94 : 274,973.01 = 78,142.51 : x
  2. Step 2: Convert to fraction form
    183,298.94/274,973.01 = 78,142.51/x
  3. Step 3: Cross multiply
    183,298.94x = 274,973.01 × 78,142.51
  4. Step 4: Simplify right side
    183,298.94x = 21,487,081,183.66
  5. Step 5: Solve for x
    x = 21,487,081,183.66/183,298.94
  6. Step 6: Final answer
    x = 117,224.25

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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.