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Finding the Fourth Proportional to 276,595.98, 414,967.80 and 99,120.93

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Solution

The fourth proportional to 276,595.98, 414,967.80 and 99,120.93 is: 148,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,595.98 : 414,967.80 = 99,120.93 : x
  2. Step 2: Convert to fraction form
    276,595.98/414,967.80 = 99,120.93/x
  3. Step 3: Cross multiply
    276,595.98x = 414,967.80 × 99,120.93
  4. Step 4: Simplify right side
    276,595.98x = 41,131,994,256.05
  5. Step 5: Solve for x
    x = 41,131,994,256.05/276,595.98
  6. Step 6: Final answer
    x = 148,707.85

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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.