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Finding the Fourth Proportional to 149,052.36, 205,721.48 and 85,432.80

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Solution

The fourth proportional to 149,052.36, 205,721.48 and 85,432.80 is: 117,914.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,052.36 : 205,721.48 = 85,432.80 : x
  2. Step 2: Convert to fraction form
    149,052.36/205,721.48 = 85,432.80/x
  3. Step 3: Cross multiply
    149,052.36x = 205,721.48 × 85,432.80
  4. Step 4: Simplify right side
    149,052.36x = 17,575,362,056.54
  5. Step 5: Solve for x
    x = 17,575,362,056.54/149,052.36
  6. Step 6: Final answer
    x = 117,914.01

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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.