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Finding the Fourth Proportional to 137,412.65, 205,659.70 and 78,232.43

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Solution

The fourth proportional to 137,412.65, 205,659.70 and 78,232.43 is: 117,087.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,412.65 : 205,659.70 = 78,232.43 : x
  2. Step 2: Convert to fraction form
    137,412.65/205,659.70 = 78,232.43/x
  3. Step 3: Cross multiply
    137,412.65x = 205,659.70 × 78,232.43
  4. Step 4: Simplify right side
    137,412.65x = 16,089,258,084.07
  5. Step 5: Solve for x
    x = 16,089,258,084.07/137,412.65
  6. Step 6: Final answer
    x = 117,087.17

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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.