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Finding the Fourth Proportional to 282,102.86, 389,294.91 and 157,922.10

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Solution

The fourth proportional to 282,102.86, 389,294.91 and 157,922.10 is: 217,928.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,102.86 : 389,294.91 = 157,922.10 : x
  2. Step 2: Convert to fraction form
    282,102.86/389,294.91 = 157,922.10/x
  3. Step 3: Cross multiply
    282,102.86x = 389,294.91 × 157,922.10
  4. Step 4: Simplify right side
    282,102.86x = 61,478,269,277.85
  5. Step 5: Solve for x
    x = 61,478,269,277.85/282,102.86
  6. Step 6: Final answer
    x = 217,928.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.