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Finding the Fourth Proportional to 137,429, 189,652.44 and 80,102.24

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Solution

The fourth proportional to 137,429, 189,652.44 and 80,102.24 is: 110,541.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,429 : 189,652.44 = 80,102.24 : x
  2. Step 2: Convert to fraction form
    137,429/189,652.44 = 80,102.24/x
  3. Step 3: Cross multiply
    137,429x = 189,652.44 × 80,102.24
  4. Step 4: Simplify right side
    137,429x = 15,191,585,265.47
  5. Step 5: Solve for x
    x = 15,191,585,265.47/137,429
  6. Step 6: Final answer
    x = 110,541.34

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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.