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Finding the Fourth Proportional to 211,271.36, 316,629.12 and 86,544.32

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Solution

The fourth proportional to 211,271.36, 316,629.12 and 86,544.32 is: 129,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,271.36 : 316,629.12 = 86,544.32 : x
  2. Step 2: Convert to fraction form
    211,271.36/316,629.12 = 86,544.32/x
  3. Step 3: Cross multiply
    211,271.36x = 316,629.12 × 86,544.32
  4. Step 4: Simplify right side
    211,271.36x = 27,402,451,882.60
  5. Step 5: Solve for x
    x = 27,402,451,882.60/211,271.36
  6. Step 6: Final answer
    x = 129,702.63

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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.