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Finding the Fourth Proportional to 210,806.48, 290,980.68 and 139,250

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Solution

The fourth proportional to 210,806.48, 290,980.68 and 139,250 is: 192,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,806.48 : 290,980.68 = 139,250 : x
  2. Step 2: Convert to fraction form
    210,806.48/290,980.68 = 139,250/x
  3. Step 3: Cross multiply
    210,806.48x = 290,980.68 × 139,250
  4. Step 4: Simplify right side
    210,806.48x = 40,519,059,690
  5. Step 5: Solve for x
    x = 40,519,059,690/210,806.48
  6. Step 6: Final answer
    x = 192,209.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.