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Finding the Fourth Proportional to 190,674, 285,998.40 and 78,324.84

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Solution

The fourth proportional to 190,674, 285,998.40 and 78,324.84 is: 117,482.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,674 : 285,998.40 = 78,324.84 : x
  2. Step 2: Convert to fraction form
    190,674/285,998.40 = 78,324.84/x
  3. Step 3: Cross multiply
    190,674x = 285,998.40 × 78,324.84
  4. Step 4: Simplify right side
    190,674x = 22,400,778,920.26
  5. Step 5: Solve for x
    x = 22,400,778,920.26/190,674
  6. Step 6: Final answer
    x = 117,482.08

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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.