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Finding the Fourth Proportional to 153,194, 211,407.72 and 86,126.48

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Solution

The fourth proportional to 153,194, 211,407.72 and 86,126.48 is: 118,854.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,194 : 211,407.72 = 86,126.48 : x
  2. Step 2: Convert to fraction form
    153,194/211,407.72 = 86,126.48/x
  3. Step 3: Cross multiply
    153,194x = 211,407.72 × 86,126.48
  4. Step 4: Simplify right side
    153,194x = 18,207,802,768.43
  5. Step 5: Solve for x
    x = 18,207,802,768.43/153,194
  6. Step 6: Final answer
    x = 118,854.54

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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.