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Finding the Fourth Proportional to 207,192.02, 310,780.74 and 66,947

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Solution

The fourth proportional to 207,192.02, 310,780.74 and 66,947 is: 100,418.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,192.02 : 310,780.74 = 66,947 : x
  2. Step 2: Convert to fraction form
    207,192.02/310,780.74 = 66,947/x
  3. Step 3: Cross multiply
    207,192.02x = 310,780.74 × 66,947
  4. Step 4: Simplify right side
    207,192.02x = 20,805,838,200.78
  5. Step 5: Solve for x
    x = 20,805,838,200.78/207,192.02
  6. Step 6: Final answer
    x = 100,418.14

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1.5x scale

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.