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Finding the Fourth Proportional to 77,113.42, 115,388.44 and 45,538.41

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Solution

The fourth proportional to 77,113.42, 115,388.44 and 45,538.41 is: 68,141.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,113.42 : 115,388.44 = 45,538.41 : x
  2. Step 2: Convert to fraction form
    77,113.42/115,388.44 = 45,538.41/x
  3. Step 3: Cross multiply
    77,113.42x = 115,388.44 × 45,538.41
  4. Step 4: Simplify right side
    77,113.42x = 5,254,606,089.98
  5. Step 5: Solve for x
    x = 5,254,606,089.98/77,113.42
  6. Step 6: Final answer
    x = 68,141.27

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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.