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Finding the Fourth Proportional to 137,259.70, 205,904.91 and 43,744.18

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Solution

The fourth proportional to 137,259.70, 205,904.91 and 43,744.18 is: 65,621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,259.70 : 205,904.91 = 43,744.18 : x
  2. Step 2: Convert to fraction form
    137,259.70/205,904.91 = 43,744.18/x
  3. Step 3: Cross multiply
    137,259.70x = 205,904.91 × 43,744.18
  4. Step 4: Simplify right side
    137,259.70x = 9,007,141,445.92
  5. Step 5: Solve for x
    x = 9,007,141,445.92/137,259.70
  6. Step 6: Final answer
    x = 65,621.17

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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.