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Finding the Fourth Proportional to 209,893.81, 314,889.96 and 83,541.73

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Solution

The fourth proportional to 209,893.81, 314,889.96 and 83,541.73 is: 125,332.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,893.81 : 314,889.96 = 83,541.73 : x
  2. Step 2: Convert to fraction form
    209,893.81/314,889.96 = 83,541.73/x
  3. Step 3: Cross multiply
    209,893.81x = 314,889.96 × 83,541.73
  4. Step 4: Simplify right side
    209,893.81x = 26,306,452,018.03
  5. Step 5: Solve for x
    x = 26,306,452,018.03/209,893.81
  6. Step 6: Final answer
    x = 125,332.20

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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.