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Finding the Fourth Proportional to 201,842.64, 302,817.15 and 100,670.40

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Solution

The fourth proportional to 201,842.64, 302,817.15 and 100,670.40 is: 151,032.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,842.64 : 302,817.15 = 100,670.40 : x
  2. Step 2: Convert to fraction form
    201,842.64/302,817.15 = 100,670.40/x
  3. Step 3: Cross multiply
    201,842.64x = 302,817.15 × 100,670.40
  4. Step 4: Simplify right side
    201,842.64x = 30,484,723,617.36
  5. Step 5: Solve for x
    x = 30,484,723,617.36/201,842.64
  6. Step 6: Final answer
    x = 151,032.13

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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.