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Finding the Fourth Proportional to 122,223.40, 183,116.40 and 103,415.20

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Solution

The fourth proportional to 122,223.40, 183,116.40 and 103,415.20 is: 154,937.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,223.40 : 183,116.40 = 103,415.20 : x
  2. Step 2: Convert to fraction form
    122,223.40/183,116.40 = 103,415.20/x
  3. Step 3: Cross multiply
    122,223.40x = 183,116.40 × 103,415.20
  4. Step 4: Simplify right side
    122,223.40x = 18,937,019,129.28
  5. Step 5: Solve for x
    x = 18,937,019,129.28/122,223.40
  6. Step 6: Final answer
    x = 154,937.75

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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.