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Finding the Fourth Proportional to 151,684.98, 208,983.42 and 105,701.28

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Solution

The fourth proportional to 151,684.98, 208,983.42 and 105,701.28 is: 145,629.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,684.98 : 208,983.42 = 105,701.28 : x
  2. Step 2: Convert to fraction form
    151,684.98/208,983.42 = 105,701.28/x
  3. Step 3: Cross multiply
    151,684.98x = 208,983.42 × 105,701.28
  4. Step 4: Simplify right side
    151,684.98x = 22,089,814,992.78
  5. Step 5: Solve for x
    x = 22,089,814,992.78/151,684.98
  6. Step 6: Final answer
    x = 145,629.55

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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.