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Finding the Fourth Proportional to 144,653.44, 199,521.28 and 123,088

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Solution

The fourth proportional to 144,653.44, 199,521.28 and 123,088 is: 169,775.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,653.44 : 199,521.28 = 123,088 : x
  2. Step 2: Convert to fraction form
    144,653.44/199,521.28 = 123,088/x
  3. Step 3: Cross multiply
    144,653.44x = 199,521.28 × 123,088
  4. Step 4: Simplify right side
    144,653.44x = 24,558,675,312.64
  5. Step 5: Solve for x
    x = 24,558,675,312.64/144,653.44
  6. Step 6: Final answer
    x = 169,775.95

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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.