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Finding the Fourth Proportional to 189,968.99, 284,820.65 and 83,301.71

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Solution

The fourth proportional to 189,968.99, 284,820.65 and 83,301.71 is: 124,894.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,968.99 : 284,820.65 = 83,301.71 : x
  2. Step 2: Convert to fraction form
    189,968.99/284,820.65 = 83,301.71/x
  3. Step 3: Cross multiply
    189,968.99x = 284,820.65 × 83,301.71
  4. Step 4: Simplify right side
    189,968.99x = 23,726,046,771.80
  5. Step 5: Solve for x
    x = 23,726,046,771.80/189,968.99
  6. Step 6: Final answer
    x = 124,894.31

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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.