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Finding the Fourth Proportional to 144,702.79, 199,670.87 and 83,451.26

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Solution

The fourth proportional to 144,702.79, 199,670.87 and 83,451.26 is: 115,151.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,702.79 : 199,670.87 = 83,451.26 : x
  2. Step 2: Convert to fraction form
    144,702.79/199,670.87 = 83,451.26/x
  3. Step 3: Cross multiply
    144,702.79x = 199,670.87 × 83,451.26
  4. Step 4: Simplify right side
    144,702.79x = 16,662,786,394.60
  5. Step 5: Solve for x
    x = 16,662,786,394.60/144,702.79
  6. Step 6: Final answer
    x = 115,151.80

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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.