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Finding the Fourth Proportional to 136,256, 204,395.52 and 37,760

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Solution

The fourth proportional to 136,256, 204,395.52 and 37,760 is: 56,643.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,256 : 204,395.52 = 37,760 : x
  2. Step 2: Convert to fraction form
    136,256/204,395.52 = 37,760/x
  3. Step 3: Cross multiply
    136,256x = 204,395.52 × 37,760
  4. Step 4: Simplify right side
    136,256x = 7,717,974,835.20
  5. Step 5: Solve for x
    x = 7,717,974,835.20/136,256
  6. Step 6: Final answer
    x = 56,643.19

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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.