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Finding the Fourth Proportional to 122,816.40, 184,030.20 and 102,987.60

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Solution

The fourth proportional to 122,816.40, 184,030.20 and 102,987.60 is: 154,318.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,816.40 : 184,030.20 = 102,987.60 : x
  2. Step 2: Convert to fraction form
    122,816.40/184,030.20 = 102,987.60/x
  3. Step 3: Cross multiply
    122,816.40x = 184,030.20 × 102,987.60
  4. Step 4: Simplify right side
    122,816.40x = 18,952,828,625.52
  5. Step 5: Solve for x
    x = 18,952,828,625.52/122,816.40
  6. Step 6: Final answer
    x = 154,318.39

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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.