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Finding the Fourth Proportional to 141,952.84, 195,893.43 and 78,289.27

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Solution

The fourth proportional to 141,952.84, 195,893.43 and 78,289.27 is: 108,038.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,952.84 : 195,893.43 = 78,289.27 : x
  2. Step 2: Convert to fraction form
    141,952.84/195,893.43 = 78,289.27/x
  3. Step 3: Cross multiply
    141,952.84x = 195,893.43 × 78,289.27
  4. Step 4: Simplify right side
    141,952.84x = 15,336,353,632.50
  5. Step 5: Solve for x
    x = 15,336,353,632.50/141,952.84
  6. Step 6: Final answer
    x = 108,038.37

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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.