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Finding the Fourth Proportional to 96,102.25, 144,164.90 and 39,980.32

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Solution

The fourth proportional to 96,102.25, 144,164.90 and 39,980.32 is: 59,975.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,102.25 : 144,164.90 = 39,980.32 : x
  2. Step 2: Convert to fraction form
    96,102.25/144,164.90 = 39,980.32/x
  3. Step 3: Cross multiply
    96,102.25x = 144,164.90 × 39,980.32
  4. Step 4: Simplify right side
    96,102.25x = 5,763,759,708.93
  5. Step 5: Solve for x
    x = 5,763,759,708.93/96,102.25
  6. Step 6: Final answer
    x = 59,975.29

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.