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Finding the Fourth Proportional to 137,485.59, 189,729.85 and 77,056.21

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Solution

The fourth proportional to 137,485.59, 189,729.85 and 77,056.21 is: 106,337.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,485.59 : 189,729.85 = 77,056.21 : x
  2. Step 2: Convert to fraction form
    137,485.59/189,729.85 = 77,056.21/x
  3. Step 3: Cross multiply
    137,485.59x = 189,729.85 × 77,056.21
  4. Step 4: Simplify right side
    137,485.59x = 14,619,863,164.87
  5. Step 5: Solve for x
    x = 14,619,863,164.87/137,485.59
  6. Step 6: Final answer
    x = 106,337.42

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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.