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Finding the Fourth Proportional to 122,776.40, 183,905.40 and 102,040.40

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Solution

The fourth proportional to 122,776.40, 183,905.40 and 102,040.40 is: 152,845.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,776.40 : 183,905.40 = 102,040.40 : x
  2. Step 2: Convert to fraction form
    122,776.40/183,905.40 = 102,040.40/x
  3. Step 3: Cross multiply
    122,776.40x = 183,905.40 × 102,040.40
  4. Step 4: Simplify right side
    122,776.40x = 18,765,780,578.16
  5. Step 5: Solve for x
    x = 18,765,780,578.16/122,776.40
  6. Step 6: Final answer
    x = 152,845.18

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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.