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Finding the Fourth Proportional to 147,829, 203,764.44 and 115,507.12

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Solution

The fourth proportional to 147,829, 203,764.44 and 115,507.12 is: 159,212.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,829 : 203,764.44 = 115,507.12 : x
  2. Step 2: Convert to fraction form
    147,829/203,764.44 = 115,507.12/x
  3. Step 3: Cross multiply
    147,829x = 203,764.44 × 115,507.12
  4. Step 4: Simplify right side
    147,829x = 23,536,243,622.81
  5. Step 5: Solve for x
    x = 23,536,243,622.81/147,829
  6. Step 6: Final answer
    x = 159,212.63

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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.