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Finding the Fourth Proportional to 214,980.60, 322,616.70 and 139,917.90

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Solution

The fourth proportional to 214,980.60, 322,616.70 and 139,917.90 is: 209,971.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,980.60 : 322,616.70 = 139,917.90 : x
  2. Step 2: Convert to fraction form
    214,980.60/322,616.70 = 139,917.90/x
  3. Step 3: Cross multiply
    214,980.60x = 322,616.70 × 139,917.90
  4. Step 4: Simplify right side
    214,980.60x = 45,139,851,168.93
  5. Step 5: Solve for x
    x = 45,139,851,168.93/214,980.60
  6. Step 6: Final answer
    x = 209,971.74

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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.