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Finding the Fourth Proportional to 190,615.58, 285,831.02 and 57,471.02

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Solution

The fourth proportional to 190,615.58, 285,831.02 and 57,471.02 is: 86,178.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,615.58 : 285,831.02 = 57,471.02 : x
  2. Step 2: Convert to fraction form
    190,615.58/285,831.02 = 57,471.02/x
  3. Step 3: Cross multiply
    190,615.58x = 285,831.02 × 57,471.02
  4. Step 4: Simplify right side
    190,615.58x = 16,426,998,550.53
  5. Step 5: Solve for x
    x = 16,426,998,550.53/190,615.58
  6. Step 6: Final answer
    x = 86,178.68

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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.