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Finding the Fourth Proportional to 137,400.16, 205,795.71 and 105,575.96

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Solution

The fourth proportional to 137,400.16, 205,795.71 and 105,575.96 is: 158,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,400.16 : 205,795.71 = 105,575.96 : x
  2. Step 2: Convert to fraction form
    137,400.16/205,795.71 = 105,575.96/x
  3. Step 3: Cross multiply
    137,400.16x = 205,795.71 × 105,575.96
  4. Step 4: Simplify right side
    137,400.16x = 21,727,079,647.13
  5. Step 5: Solve for x
    x = 21,727,079,647.13/137,400.16
  6. Step 6: Final answer
    x = 158,129.94

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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.