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Finding the Fourth Proportional to 145,838.50, 201,257.27 and 78,770.50

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Solution

The fourth proportional to 145,838.50, 201,257.27 and 78,770.50 is: 108,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,838.50 : 201,257.27 = 78,770.50 : x
  2. Step 2: Convert to fraction form
    145,838.50/201,257.27 = 78,770.50/x
  3. Step 3: Cross multiply
    145,838.50x = 201,257.27 × 78,770.50
  4. Step 4: Simplify right side
    145,838.50x = 15,853,135,786.54
  5. Step 5: Solve for x
    x = 15,853,135,786.54/145,838.50
  6. Step 6: Final answer
    x = 108,703.37

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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.