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Finding the Fourth Proportional to 153,383, 211,668.54 and 86,316.44

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Solution

The fourth proportional to 153,383, 211,668.54 and 86,316.44 is: 119,116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,383 : 211,668.54 = 86,316.44 : x
  2. Step 2: Convert to fraction form
    153,383/211,668.54 = 86,316.44/x
  3. Step 3: Cross multiply
    153,383x = 211,668.54 × 86,316.44
  4. Step 4: Simplify right side
    153,383x = 18,270,474,832.80
  5. Step 5: Solve for x
    x = 18,270,474,832.80/153,383
  6. Step 6: Final answer
    x = 119,116.69

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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.