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Finding the Fourth Proportional to 190,018.86, 285,126.71 and 137,858.91

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Solution

The fourth proportional to 190,018.86, 285,126.71 and 137,858.91 is: 206,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,018.86 : 285,126.71 = 137,858.91 : x
  2. Step 2: Convert to fraction form
    190,018.86/285,126.71 = 137,858.91/x
  3. Step 3: Cross multiply
    190,018.86x = 285,126.71 × 137,858.91
  4. Step 4: Simplify right side
    190,018.86x = 39,307,256,763.19
  5. Step 5: Solve for x
    x = 39,307,256,763.19/190,018.86
  6. Step 6: Final answer
    x = 206,859.77

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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.