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Finding the Fourth Proportional to 281,547.46, 422,362.38 and 81,841.89

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Solution

The fourth proportional to 281,547.46, 422,362.38 and 81,841.89 is: 122,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,547.46 : 422,362.38 = 81,841.89 : x
  2. Step 2: Convert to fraction form
    281,547.46/422,362.38 = 81,841.89/x
  3. Step 3: Cross multiply
    281,547.46x = 422,362.38 × 81,841.89
  4. Step 4: Simplify right side
    281,547.46x = 34,566,937,334.86
  5. Step 5: Solve for x
    x = 34,566,937,334.86/281,547.46
  6. Step 6: Final answer
    x = 122,774.81

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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.