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Finding the Fourth Proportional to 201,315.17, 277,820.31 and 109,440.65

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Solution

The fourth proportional to 201,315.17, 277,820.31 and 109,440.65 is: 151,031.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,315.17 : 277,820.31 = 109,440.65 : x
  2. Step 2: Convert to fraction form
    201,315.17/277,820.31 = 109,440.65/x
  3. Step 3: Cross multiply
    201,315.17x = 277,820.31 × 109,440.65
  4. Step 4: Simplify right side
    201,315.17x = 30,404,835,309.60
  5. Step 5: Solve for x
    x = 30,404,835,309.60/201,315.17
  6. Step 6: Final answer
    x = 151,031.02

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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.