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Finding the Fourth Proportional to 136,890.40, 205,412.40 and 57,991.20

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Solution

The fourth proportional to 136,890.40, 205,412.40 and 57,991.20 is: 87,019.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,890.40 : 205,412.40 = 57,991.20 : x
  2. Step 2: Convert to fraction form
    136,890.40/205,412.40 = 57,991.20/x
  3. Step 3: Cross multiply
    136,890.40x = 205,412.40 × 57,991.20
  4. Step 4: Simplify right side
    136,890.40x = 11,912,111,570.88
  5. Step 5: Solve for x
    x = 11,912,111,570.88/136,890.40
  6. Step 6: Final answer
    x = 87,019.33

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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.