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Finding the Fourth Proportional to 140,990.88, 194,570.44 and 77,328.52

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Solution

The fourth proportional to 140,990.88, 194,570.44 and 77,328.52 is: 106,715.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,990.88 : 194,570.44 = 77,328.52 : x
  2. Step 2: Convert to fraction form
    140,990.88/194,570.44 = 77,328.52/x
  3. Step 3: Cross multiply
    140,990.88x = 194,570.44 × 77,328.52
  4. Step 4: Simplify right side
    140,990.88x = 15,045,844,160.95
  5. Step 5: Solve for x
    x = 15,045,844,160.95/140,990.88
  6. Step 6: Final answer
    x = 106,715.02

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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.