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Finding the Fourth Proportional to 122,778.40, 183,908.40 and 102,042.40

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Solution

The fourth proportional to 122,778.40, 183,908.40 and 102,042.40 is: 152,848.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,778.40 : 183,908.40 = 102,042.40 : x
  2. Step 2: Convert to fraction form
    122,778.40/183,908.40 = 102,042.40/x
  3. Step 3: Cross multiply
    122,778.40x = 183,908.40 × 102,042.40
  4. Step 4: Simplify right side
    122,778.40x = 18,766,454,516.16
  5. Step 5: Solve for x
    x = 18,766,454,516.16/122,778.40
  6. Step 6: Final answer
    x = 152,848.18

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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.