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Finding the Fourth Proportional to 209,806.44, 314,984.01 and 124,572.87

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Solution

The fourth proportional to 209,806.44, 314,984.01 and 124,572.87 is: 187,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,806.44 : 314,984.01 = 124,572.87 : x
  2. Step 2: Convert to fraction form
    209,806.44/314,984.01 = 124,572.87/x
  3. Step 3: Cross multiply
    209,806.44x = 314,984.01 × 124,572.87
  4. Step 4: Simplify right side
    209,806.44x = 39,238,462,129.81
  5. Step 5: Solve for x
    x = 39,238,462,129.81/209,806.44
  6. Step 6: Final answer
    x = 187,022.20

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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.