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Finding the Fourth Proportional to 202,185.17, 303,117.93 and 100,931.25

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Solution

The fourth proportional to 202,185.17, 303,117.93 and 100,931.25 is: 151,317.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,185.17 : 303,117.93 = 100,931.25 : x
  2. Step 2: Convert to fraction form
    202,185.17/303,117.93 = 100,931.25/x
  3. Step 3: Cross multiply
    202,185.17x = 303,117.93 × 100,931.25
  4. Step 4: Simplify right side
    202,185.17x = 30,594,071,572.31
  5. Step 5: Solve for x
    x = 30,594,071,572.31/202,185.17
  6. Step 6: Final answer
    x = 151,317.09

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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.