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Finding the Fourth Proportional to 281,050.76, 421,742.10 and 103,681.64

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Solution

The fourth proportional to 281,050.76, 421,742.10 and 103,681.64 is: 155,583.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,050.76 : 421,742.10 = 103,681.64 : x
  2. Step 2: Convert to fraction form
    281,050.76/421,742.10 = 103,681.64/x
  3. Step 3: Cross multiply
    281,050.76x = 421,742.10 × 103,681.64
  4. Step 4: Simplify right side
    281,050.76x = 43,726,912,585.04
  5. Step 5: Solve for x
    x = 43,726,912,585.04/281,050.76
  6. Step 6: Final answer
    x = 155,583.68

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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.