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Finding the Fourth Proportional to 140,929.86, 194,482.92 and 77,271.78

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Solution

The fourth proportional to 140,929.86, 194,482.92 and 77,271.78 is: 106,634.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,929.86 : 194,482.92 = 77,271.78 : x
  2. Step 2: Convert to fraction form
    140,929.86/194,482.92 = 77,271.78/x
  3. Step 3: Cross multiply
    140,929.86x = 194,482.92 × 77,271.78
  4. Step 4: Simplify right side
    140,929.86x = 15,028,041,408.00
  5. Step 5: Solve for x
    x = 15,028,041,408.00/140,929.86
  6. Step 6: Final answer
    x = 106,634.90

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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.