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Finding the Fourth Proportional to 285,242, 427,886.04 and 88,250

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Solution

The fourth proportional to 285,242, 427,886.04 and 88,250 is: 132,382.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,242 : 427,886.04 = 88,250 : x
  2. Step 2: Convert to fraction form
    285,242/427,886.04 = 88,250/x
  3. Step 3: Cross multiply
    285,242x = 427,886.04 × 88,250
  4. Step 4: Simplify right side
    285,242x = 37,760,943,030
  5. Step 5: Solve for x
    x = 37,760,943,030/285,242
  6. Step 6: Final answer
    x = 132,382.13

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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.