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Finding the Fourth Proportional to 281,004, 421,506.24 and 114,792

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Solution

The fourth proportional to 281,004, 421,506.24 and 114,792 is: 172,188.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,004 : 421,506.24 = 114,792 : x
  2. Step 2: Convert to fraction form
    281,004/421,506.24 = 114,792/x
  3. Step 3: Cross multiply
    281,004x = 421,506.24 × 114,792
  4. Step 4: Simplify right side
    281,004x = 48,385,544,302.08
  5. Step 5: Solve for x
    x = 48,385,544,302.08/281,004
  6. Step 6: Final answer
    x = 172,188.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.