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Finding the Fourth Proportional to 147,649.32, 203,735.52 and 83,980.08

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Solution

The fourth proportional to 147,649.32, 203,735.52 and 83,980.08 is: 115,880.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,649.32 : 203,735.52 = 83,980.08 : x
  2. Step 2: Convert to fraction form
    147,649.32/203,735.52 = 83,980.08/x
  3. Step 3: Cross multiply
    147,649.32x = 203,735.52 × 83,980.08
  4. Step 4: Simplify right side
    147,649.32x = 17,109,725,268.44
  5. Step 5: Solve for x
    x = 17,109,725,268.44/147,649.32
  6. Step 6: Final answer
    x = 115,880.83

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1.5x scale

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.