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Finding the Fourth Proportional to 190,687.52, 285,831.68 and 64,284.08

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Solution

The fourth proportional to 190,687.52, 285,831.68 and 64,284.08 is: 96,358.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,687.52 : 285,831.68 = 64,284.08 : x
  2. Step 2: Convert to fraction form
    190,687.52/285,831.68 = 64,284.08/x
  3. Step 3: Cross multiply
    190,687.52x = 285,831.68 × 64,284.08
  4. Step 4: Simplify right side
    190,687.52x = 18,374,426,583.65
  5. Step 5: Solve for x
    x = 18,374,426,583.65/190,687.52
  6. Step 6: Final answer
    x = 96,358.83

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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.