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Finding the Fourth Proportional to 188,274, 282,445.80 and 61,921.20

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Solution

The fourth proportional to 188,274, 282,445.80 and 61,921.20 is: 92,893.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,274 : 282,445.80 = 61,921.20 : x
  2. Step 2: Convert to fraction form
    188,274/282,445.80 = 61,921.20/x
  3. Step 3: Cross multiply
    188,274x = 282,445.80 × 61,921.20
  4. Step 4: Simplify right side
    188,274x = 17,489,382,870.96
  5. Step 5: Solve for x
    x = 17,489,382,870.96/188,274
  6. Step 6: Final answer
    x = 92,893.25

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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.