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Finding the Fourth Proportional to 137,054.90, 205,582.35 and 131,806.10

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Solution

The fourth proportional to 137,054.90, 205,582.35 and 131,806.10 is: 197,709.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,054.90 : 205,582.35 = 131,806.10 : x
  2. Step 2: Convert to fraction form
    137,054.90/205,582.35 = 131,806.10/x
  3. Step 3: Cross multiply
    137,054.90x = 205,582.35 × 131,806.10
  4. Step 4: Simplify right side
    137,054.90x = 27,097,007,782.34
  5. Step 5: Solve for x
    x = 27,097,007,782.34/137,054.90
  6. Step 6: Final answer
    x = 197,709.15

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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.