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Finding the Fourth Proportional to 123,261.44, 170,096.80 and 77,964.16

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Solution

The fourth proportional to 123,261.44, 170,096.80 and 77,964.16 is: 107,588.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,261.44 : 170,096.80 = 77,964.16 : x
  2. Step 2: Convert to fraction form
    123,261.44/170,096.80 = 77,964.16/x
  3. Step 3: Cross multiply
    123,261.44x = 170,096.80 × 77,964.16
  4. Step 4: Simplify right side
    123,261.44x = 13,261,454,130.69
  5. Step 5: Solve for x
    x = 13,261,454,130.69/123,261.44
  6. Step 6: Final answer
    x = 107,588.02

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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.