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Finding the Fourth Proportional to 201,312.75, 277,816.91 and 109,438.21

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Solution

The fourth proportional to 201,312.75, 277,816.91 and 109,438.21 is: 151,027.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,312.75 : 277,816.91 = 109,438.21 : x
  2. Step 2: Convert to fraction form
    201,312.75/277,816.91 = 109,438.21/x
  3. Step 3: Cross multiply
    201,312.75x = 277,816.91 × 109,438.21
  4. Step 4: Simplify right side
    201,312.75x = 30,403,786,274.71
  5. Step 5: Solve for x
    x = 30,403,786,274.71/201,312.75
  6. Step 6: Final answer
    x = 151,027.62

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.