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Finding the Fourth Proportional to 77,303.34, 105,879.24 and 72,764.10

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Solution

The fourth proportional to 77,303.34, 105,879.24 and 72,764.10 is: 99,662.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,303.34 : 105,879.24 = 72,764.10 : x
  2. Step 2: Convert to fraction form
    77,303.34/105,879.24 = 72,764.10/x
  3. Step 3: Cross multiply
    77,303.34x = 105,879.24 × 72,764.10
  4. Step 4: Simplify right side
    77,303.34x = 7,704,207,607.28
  5. Step 5: Solve for x
    x = 7,704,207,607.28/77,303.34
  6. Step 6: Final answer
    x = 99,662.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.