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Finding the Fourth Proportional to 281,547.89, 422,363.01 and 81,842.32

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Solution

The fourth proportional to 281,547.89, 422,363.01 and 81,842.32 is: 122,775.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,547.89 : 422,363.01 = 81,842.32 : x
  2. Step 2: Convert to fraction form
    281,547.89/422,363.01 = 81,842.32/x
  3. Step 3: Cross multiply
    281,547.89x = 422,363.01 × 81,842.32
  4. Step 4: Simplify right side
    281,547.89x = 34,567,170,182.98
  5. Step 5: Solve for x
    x = 34,567,170,182.98/281,547.89
  6. Step 6: Final answer
    x = 122,775.46

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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.