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Finding the Fourth Proportional to 137,501, 189,607.46 and 101,765.96

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Solution

The fourth proportional to 137,501, 189,607.46 and 101,765.96 is: 140,330.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,501 : 189,607.46 = 101,765.96 : x
  2. Step 2: Convert to fraction form
    137,501/189,607.46 = 101,765.96/x
  3. Step 3: Cross multiply
    137,501x = 189,607.46 × 101,765.96
  4. Step 4: Simplify right side
    137,501x = 19,295,585,190.06
  5. Step 5: Solve for x
    x = 19,295,585,190.06/137,501
  6. Step 6: Final answer
    x = 140,330.51

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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.