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Finding the Fourth Proportional to 202,643.24, 303,971 and 69,521.57

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Solution

The fourth proportional to 202,643.24, 303,971 and 69,521.57 is: 104,284.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,643.24 : 303,971 = 69,521.57 : x
  2. Step 2: Convert to fraction form
    202,643.24/303,971 = 69,521.57/x
  3. Step 3: Cross multiply
    202,643.24x = 303,971 × 69,521.57
  4. Step 4: Simplify right side
    202,643.24x = 21,132,541,154.47
  5. Step 5: Solve for x
    x = 21,132,541,154.47/202,643.24
  6. Step 6: Final answer
    x = 104,284.46

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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.