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Finding the Fourth Proportional to 137,027.36, 189,128.26 and 83,301

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Solution

The fourth proportional to 137,027.36, 189,128.26 and 83,301 is: 114,973.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,027.36 : 189,128.26 = 83,301 : x
  2. Step 2: Convert to fraction form
    137,027.36/189,128.26 = 83,301/x
  3. Step 3: Cross multiply
    137,027.36x = 189,128.26 × 83,301
  4. Step 4: Simplify right side
    137,027.36x = 15,754,573,186.26
  5. Step 5: Solve for x
    x = 15,754,573,186.26/137,027.36
  6. Step 6: Final answer
    x = 114,973.92

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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.