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Finding the Fourth Proportional to 122,971.40, 184,457.10 and 100,809.80

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Solution

The fourth proportional to 122,971.40, 184,457.10 and 100,809.80 is: 151,214.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,971.40 : 184,457.10 = 100,809.80 : x
  2. Step 2: Convert to fraction form
    122,971.40/184,457.10 = 100,809.80/x
  3. Step 3: Cross multiply
    122,971.40x = 184,457.10 × 100,809.80
  4. Step 4: Simplify right side
    122,971.40x = 18,595,083,359.58
  5. Step 5: Solve for x
    x = 18,595,083,359.58/122,971.40
  6. Step 6: Final answer
    x = 151,214.70

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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.