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Finding the Fourth Proportional to 209,041.76, 313,583.40 and 66,851.31

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Solution

The fourth proportional to 209,041.76, 313,583.40 and 66,851.31 is: 100,283.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,041.76 : 313,583.40 = 66,851.31 : x
  2. Step 2: Convert to fraction form
    209,041.76/313,583.40 = 66,851.31/x
  3. Step 3: Cross multiply
    209,041.76x = 313,583.40 × 66,851.31
  4. Step 4: Simplify right side
    209,041.76x = 20,963,461,084.25
  5. Step 5: Solve for x
    x = 20,963,461,084.25/209,041.76
  6. Step 6: Final answer
    x = 100,283.60

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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.