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Finding the Fourth Proportional to 281,205.20, 421,807.80 and 81,532.10

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Solution

The fourth proportional to 281,205.20, 421,807.80 and 81,532.10 is: 122,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,205.20 : 421,807.80 = 81,532.10 : x
  2. Step 2: Convert to fraction form
    281,205.20/421,807.80 = 81,532.10/x
  3. Step 3: Cross multiply
    281,205.20x = 421,807.80 × 81,532.10
  4. Step 4: Simplify right side
    281,205.20x = 34,390,875,730.38
  5. Step 5: Solve for x
    x = 34,390,875,730.38/281,205.20
  6. Step 6: Final answer
    x = 122,298.15

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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.