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Finding the Fourth Proportional to 151,375, 208,903.98 and 84,307

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Solution

The fourth proportional to 151,375, 208,903.98 and 84,307 is: 116,347.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,375 : 208,903.98 = 84,307 : x
  2. Step 2: Convert to fraction form
    151,375/208,903.98 = 84,307/x
  3. Step 3: Cross multiply
    151,375x = 208,903.98 × 84,307
  4. Step 4: Simplify right side
    151,375x = 17,612,067,841.86
  5. Step 5: Solve for x
    x = 17,612,067,841.86/151,375
  6. Step 6: Final answer
    x = 116,347.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.