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Finding the Fourth Proportional to 190,707.57, 286,048.67 and 78,358.68

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Solution

The fourth proportional to 190,707.57, 286,048.67 and 78,358.68 is: 117,532.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,707.57 : 286,048.67 = 78,358.68 : x
  2. Step 2: Convert to fraction form
    190,707.57/286,048.67 = 78,358.68/x
  3. Step 3: Cross multiply
    190,707.57x = 286,048.67 × 78,358.68
  4. Step 4: Simplify right side
    190,707.57x = 22,414,395,805.16
  5. Step 5: Solve for x
    x = 22,414,395,805.16/190,707.57
  6. Step 6: Final answer
    x = 117,532.81

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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.