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Finding the Fourth Proportional to 137,054.63, 205,441.92 and 77,765.06

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Solution

The fourth proportional to 137,054.63, 205,441.92 and 77,765.06 is: 116,568.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,054.63 : 205,441.92 = 77,765.06 : x
  2. Step 2: Convert to fraction form
    137,054.63/205,441.92 = 77,765.06/x
  3. Step 3: Cross multiply
    137,054.63x = 205,441.92 × 77,765.06
  4. Step 4: Simplify right side
    137,054.63x = 15,976,203,748.92
  5. Step 5: Solve for x
    x = 15,976,203,748.92/137,054.63
  6. Step 6: Final answer
    x = 116,568.14

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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.