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Finding the Fourth Proportional to 201,488.71, 278,043.44 and 110,830.04

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Solution

The fourth proportional to 201,488.71, 278,043.44 and 110,830.04 is: 152,939.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,488.71 : 278,043.44 = 110,830.04 : x
  2. Step 2: Convert to fraction form
    201,488.71/278,043.44 = 110,830.04/x
  3. Step 3: Cross multiply
    201,488.71x = 278,043.44 × 110,830.04
  4. Step 4: Simplify right side
    201,488.71x = 30,815,566,549.12
  5. Step 5: Solve for x
    x = 30,815,566,549.12/201,488.71
  6. Step 6: Final answer
    x = 152,939.42

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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.