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Finding the Fourth Proportional to 201,643.90, 302,611.65 and 112,803.10

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Solution

The fourth proportional to 201,643.90, 302,611.65 and 112,803.10 is: 169,286.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,643.90 : 302,611.65 = 112,803.10 : x
  2. Step 2: Convert to fraction form
    201,643.90/302,611.65 = 112,803.10/x
  3. Step 3: Cross multiply
    201,643.90x = 302,611.65 × 112,803.10
  4. Step 4: Simplify right side
    201,643.90x = 34,135,532,216.12
  5. Step 5: Solve for x
    x = 34,135,532,216.12/201,643.90
  6. Step 6: Final answer
    x = 169,286.21

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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.