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Finding the Fourth Proportional to 147,144.94, 203,060.30 and 83,470.42

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Solution

The fourth proportional to 147,144.94, 203,060.30 and 83,470.42 is: 115,189.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,144.94 : 203,060.30 = 83,470.42 : x
  2. Step 2: Convert to fraction form
    147,144.94/203,060.30 = 83,470.42/x
  3. Step 3: Cross multiply
    147,144.94x = 203,060.30 × 83,470.42
  4. Step 4: Simplify right side
    147,144.94x = 16,949,528,526.33
  5. Step 5: Solve for x
    x = 16,949,528,526.33/147,144.94
  6. Step 6: Final answer
    x = 115,189.34

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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.