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Finding the Fourth Proportional to 200,971.46, 301,458.81 and 72,978.23

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Solution

The fourth proportional to 200,971.46, 301,458.81 and 72,978.23 is: 109,467.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,971.46 : 301,458.81 = 72,978.23 : x
  2. Step 2: Convert to fraction form
    200,971.46/301,458.81 = 72,978.23/x
  3. Step 3: Cross multiply
    200,971.46x = 301,458.81 × 72,978.23
  4. Step 4: Simplify right side
    200,971.46x = 21,999,931,399.02
  5. Step 5: Solve for x
    x = 21,999,931,399.02/200,971.46
  6. Step 6: Final answer
    x = 109,467.94

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1.5x scale

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.