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Finding the Fourth Proportional to 144,898.56, 199,979.28 and 84,470.40

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Solution

The fourth proportional to 144,898.56, 199,979.28 and 84,470.40 is: 116,580.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,898.56 : 199,979.28 = 84,470.40 : x
  2. Step 2: Convert to fraction form
    144,898.56/199,979.28 = 84,470.40/x
  3. Step 3: Cross multiply
    144,898.56x = 199,979.28 × 84,470.40
  4. Step 4: Simplify right side
    144,898.56x = 16,892,329,773.31
  5. Step 5: Solve for x
    x = 16,892,329,773.31/144,898.56
  6. Step 6: Final answer
    x = 116,580.38

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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.