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Finding the Fourth Proportional to 123,283, 170,130.74 and 66,694.38

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Solution

The fourth proportional to 123,283, 170,130.74 and 66,694.38 is: 92,038.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,283 : 170,130.74 = 66,694.38 : x
  2. Step 2: Convert to fraction form
    123,283/170,130.74 = 66,694.38/x
  3. Step 3: Cross multiply
    123,283x = 170,130.74 × 66,694.38
  4. Step 4: Simplify right side
    123,283x = 11,346,764,223.24
  5. Step 5: Solve for x
    x = 11,346,764,223.24/123,283
  6. Step 6: Final answer
    x = 92,038.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.