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Finding the Fourth Proportional to 129,379.98, 194,068.35 and 45,139.98

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Solution

The fourth proportional to 129,379.98, 194,068.35 and 45,139.98 is: 67,709.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,379.98 : 194,068.35 = 45,139.98 : x
  2. Step 2: Convert to fraction form
    129,379.98/194,068.35 = 45,139.98/x
  3. Step 3: Cross multiply
    129,379.98x = 194,068.35 × 45,139.98
  4. Step 4: Simplify right side
    129,379.98x = 8,760,241,437.63
  5. Step 5: Solve for x
    x = 8,760,241,437.63/129,379.98
  6. Step 6: Final answer
    x = 67,709.40

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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.