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Finding the Fourth Proportional to 137,493.72, 189,739.58 and 77,064.26

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Solution

The fourth proportional to 137,493.72, 189,739.58 and 77,064.26 is: 106,347.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,493.72 : 189,739.58 = 77,064.26 : x
  2. Step 2: Convert to fraction form
    137,493.72/189,739.58 = 77,064.26/x
  3. Step 3: Cross multiply
    137,493.72x = 189,739.58 × 77,064.26
  4. Step 4: Simplify right side
    137,493.72x = 14,622,138,991.39
  5. Step 5: Solve for x
    x = 14,622,138,991.39/137,493.72
  6. Step 6: Final answer
    x = 106,347.69

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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.