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Finding the Fourth Proportional to 126,539.82, 189,685.80 and 70,406.82

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Solution

The fourth proportional to 126,539.82, 189,685.80 and 70,406.82 is: 105,541.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,539.82 : 189,685.80 = 70,406.82 : x
  2. Step 2: Convert to fraction form
    126,539.82/189,685.80 = 70,406.82/x
  3. Step 3: Cross multiply
    126,539.82x = 189,685.80 × 70,406.82
  4. Step 4: Simplify right side
    126,539.82x = 13,355,173,977.16
  5. Step 5: Solve for x
    x = 13,355,173,977.16/126,539.82
  6. Step 6: Final answer
    x = 105,541.28

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Why These Related Problems?

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