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Finding the Fourth Proportional to 103,661.40, 155,376.90 and 56,947.80

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Solution

The fourth proportional to 103,661.40, 155,376.90 and 56,947.80 is: 85,358.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,661.40 : 155,376.90 = 56,947.80 : x
  2. Step 2: Convert to fraction form
    103,661.40/155,376.90 = 56,947.80/x
  3. Step 3: Cross multiply
    103,661.40x = 155,376.90 × 56,947.80
  4. Step 4: Simplify right side
    103,661.40x = 8,848,372,625.82
  5. Step 5: Solve for x
    x = 8,848,372,625.82/103,661.40
  6. Step 6: Final answer
    x = 85,358.41

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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.