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Finding the Fourth Proportional to 190,687.50, 285,831.66 and 64,284.06

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Solution

The fourth proportional to 190,687.50, 285,831.66 and 64,284.06 is: 96,358.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,687.50 : 285,831.66 = 64,284.06 : x
  2. Step 2: Convert to fraction form
    190,687.50/285,831.66 = 64,284.06/x
  3. Step 3: Cross multiply
    190,687.50x = 285,831.66 × 64,284.06
  4. Step 4: Simplify right side
    190,687.50x = 18,374,419,581.34
  5. Step 5: Solve for x
    x = 18,374,419,581.34/190,687.50
  6. Step 6: Final answer
    x = 96,358.80

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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.