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Finding the Fourth Proportional to 144,386.90, 199,173.92 and 83,950.86

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Solution

The fourth proportional to 144,386.90, 199,173.92 and 83,950.86 is: 115,805.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,386.90 : 199,173.92 = 83,950.86 : x
  2. Step 2: Convert to fraction form
    144,386.90/199,173.92 = 83,950.86/x
  3. Step 3: Cross multiply
    144,386.90x = 199,173.92 × 83,950.86
  4. Step 4: Simplify right side
    144,386.90x = 16,720,822,083.45
  5. Step 5: Solve for x
    x = 16,720,822,083.45/144,386.90
  6. Step 6: Final answer
    x = 115,805.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.