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Finding the Fourth Proportional to 144,763.74, 217,188.81 and 65,812.50

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Solution

The fourth proportional to 144,763.74, 217,188.81 and 65,812.50 is: 98,738.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,763.74 : 217,188.81 = 65,812.50 : x
  2. Step 2: Convert to fraction form
    144,763.74/217,188.81 = 65,812.50/x
  3. Step 3: Cross multiply
    144,763.74x = 217,188.81 × 65,812.50
  4. Step 4: Simplify right side
    144,763.74x = 14,293,738,558.13
  5. Step 5: Solve for x
    x = 14,293,738,558.13/144,763.74
  6. Step 6: Final answer
    x = 98,738.39

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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.