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Finding the Fourth Proportional to 137,228.36, 205,965.55 and 114,878.93

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Solution

The fourth proportional to 137,228.36, 205,965.55 and 114,878.93 is: 172,421.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,228.36 : 205,965.55 = 114,878.93 : x
  2. Step 2: Convert to fraction form
    137,228.36/205,965.55 = 114,878.93/x
  3. Step 3: Cross multiply
    137,228.36x = 205,965.55 × 114,878.93
  4. Step 4: Simplify right side
    137,228.36x = 23,661,101,887.00
  5. Step 5: Solve for x
    x = 23,661,101,887.00/137,228.36
  6. Step 6: Final answer
    x = 172,421.37

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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.