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Finding the Fourth Proportional to 190,944, 286,416 and 66,285

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Solution

The fourth proportional to 190,944, 286,416 and 66,285 is: 99,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,944 : 286,416 = 66,285 : x
  2. Step 2: Convert to fraction form
    190,944/286,416 = 66,285/x
  3. Step 3: Cross multiply
    190,944x = 286,416 × 66,285
  4. Step 4: Simplify right side
    190,944x = 18,985,084,560
  5. Step 5: Solve for x
    x = 18,985,084,560/190,944
  6. Step 6: Final answer
    x = 99,427.50

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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.