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Finding the Fourth Proportional to 137,480.94, 189,725.94 and 77,065.02

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Solution

The fourth proportional to 137,480.94, 189,725.94 and 77,065.02 is: 106,350.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,480.94 : 189,725.94 = 77,065.02 : x
  2. Step 2: Convert to fraction form
    137,480.94/189,725.94 = 77,065.02/x
  3. Step 3: Cross multiply
    137,480.94x = 189,725.94 × 77,065.02
  4. Step 4: Simplify right side
    137,480.94x = 14,621,233,360.62
  5. Step 5: Solve for x
    x = 14,621,233,360.62/137,480.94
  6. Step 6: Final answer
    x = 106,350.98

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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.