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Finding the Fourth Proportional to 209,916.96, 314,943.48 and 125,664

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Solution

The fourth proportional to 209,916.96, 314,943.48 and 125,664 is: 188,536.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,916.96 : 314,943.48 = 125,664 : x
  2. Step 2: Convert to fraction form
    209,916.96/314,943.48 = 125,664/x
  3. Step 3: Cross multiply
    209,916.96x = 314,943.48 × 125,664
  4. Step 4: Simplify right side
    209,916.96x = 39,577,057,470.72
  5. Step 5: Solve for x
    x = 39,577,057,470.72/209,916.96
  6. Step 6: Final answer
    x = 188,536.73

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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.