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Finding the Fourth Proportional to 190,138.77, 285,364.08 and 77,820.08

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Solution

The fourth proportional to 190,138.77, 285,364.08 and 77,820.08 is: 116,793.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,138.77 : 285,364.08 = 77,820.08 : x
  2. Step 2: Convert to fraction form
    190,138.77/285,364.08 = 77,820.08/x
  3. Step 3: Cross multiply
    190,138.77x = 285,364.08 × 77,820.08
  4. Step 4: Simplify right side
    190,138.77x = 22,207,054,107.91
  5. Step 5: Solve for x
    x = 22,207,054,107.91/190,138.77
  6. Step 6: Final answer
    x = 116,793.93

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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.