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Finding the Fourth Proportional to 137,544.33, 189,811.13 and 77,114.78

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Solution

The fourth proportional to 137,544.33, 189,811.13 and 77,114.78 is: 106,418.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,544.33 : 189,811.13 = 77,114.78 : x
  2. Step 2: Convert to fraction form
    137,544.33/189,811.13 = 77,114.78/x
  3. Step 3: Cross multiply
    137,544.33x = 189,811.13 × 77,114.78
  4. Step 4: Simplify right side
    137,544.33x = 14,637,243,531.50
  5. Step 5: Solve for x
    x = 14,637,243,531.50/137,544.33
  6. Step 6: Final answer
    x = 106,418.37

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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.