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Finding the Fourth Proportional to 126,054, 189,111.72 and 38,502

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Solution

The fourth proportional to 126,054, 189,111.72 and 38,502 is: 57,762.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,054 : 189,111.72 = 38,502 : x
  2. Step 2: Convert to fraction form
    126,054/189,111.72 = 38,502/x
  3. Step 3: Cross multiply
    126,054x = 189,111.72 × 38,502
  4. Step 4: Simplify right side
    126,054x = 7,281,179,443.44
  5. Step 5: Solve for x
    x = 7,281,179,443.44/126,054
  6. Step 6: Final answer
    x = 57,762.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.