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Finding the Fourth Proportional to 137,525.67, 189,775.78 and 76,270.84

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Solution

The fourth proportional to 137,525.67, 189,775.78 and 76,270.84 is: 105,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,525.67 : 189,775.78 = 76,270.84 : x
  2. Step 2: Convert to fraction form
    137,525.67/189,775.78 = 76,270.84/x
  3. Step 3: Cross multiply
    137,525.67x = 189,775.78 × 76,270.84
  4. Step 4: Simplify right side
    137,525.67x = 14,474,357,487.14
  5. Step 5: Solve for x
    x = 14,474,357,487.14/137,525.67
  6. Step 6: Final answer
    x = 105,248.41

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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.