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Finding the Fourth Proportional to 281,206.81, 421,387.39 and 112,559.95

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Solution

The fourth proportional to 281,206.81, 421,387.39 and 112,559.95 is: 168,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,206.81 : 421,387.39 = 112,559.95 : x
  2. Step 2: Convert to fraction form
    281,206.81/421,387.39 = 112,559.95/x
  3. Step 3: Cross multiply
    281,206.81x = 421,387.39 × 112,559.95
  4. Step 4: Simplify right side
    281,206.81x = 47,431,343,549.03
  5. Step 5: Solve for x
    x = 47,431,343,549.03/281,206.81
  6. Step 6: Final answer
    x = 168,670.68

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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.