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Finding the Fourth Proportional to 281,547.86, 422,362.94 and 81,842.28

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Solution

The fourth proportional to 281,547.86, 422,362.94 and 81,842.28 is: 122,775.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,547.86 : 422,362.94 = 81,842.28 : x
  2. Step 2: Convert to fraction form
    281,547.86/422,362.94 = 81,842.28/x
  3. Step 3: Cross multiply
    281,547.86x = 422,362.94 × 81,842.28
  4. Step 4: Simplify right side
    281,547.86x = 34,567,145,587.89
  5. Step 5: Solve for x
    x = 34,567,145,587.89/281,547.86
  6. Step 6: Final answer
    x = 122,775.38

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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.