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Finding the Fourth Proportional to 253,842.40, 380,782.73 and 85,363.21

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Solution

The fourth proportional to 253,842.40, 380,782.73 and 85,363.21 is: 128,051.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,842.40 : 380,782.73 = 85,363.21 : x
  2. Step 2: Convert to fraction form
    253,842.40/380,782.73 = 85,363.21/x
  3. Step 3: Cross multiply
    253,842.40x = 380,782.73 × 85,363.21
  4. Step 4: Simplify right side
    253,842.40x = 32,504,835,406.81
  5. Step 5: Solve for x
    x = 32,504,835,406.81/253,842.40
  6. Step 6: Final answer
    x = 128,051.25

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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.