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Finding the Fourth Proportional to 122,989.40, 184,484.10 and 66,856.40

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Solution

The fourth proportional to 122,989.40, 184,484.10 and 66,856.40 is: 100,284.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,989.40 : 184,484.10 = 66,856.40 : x
  2. Step 2: Convert to fraction form
    122,989.40/184,484.10 = 66,856.40/x
  3. Step 3: Cross multiply
    122,989.40x = 184,484.10 × 66,856.40
  4. Step 4: Simplify right side
    122,989.40x = 12,333,942,783.24
  5. Step 5: Solve for x
    x = 12,333,942,783.24/122,989.40
  6. Step 6: Final answer
    x = 100,284.60

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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.