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Finding the Fourth Proportional to 73,698.38, 110,547.12 and 21,107.88

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Solution

The fourth proportional to 73,698.38, 110,547.12 and 21,107.88 is: 31,661.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,698.38 : 110,547.12 = 21,107.88 : x
  2. Step 2: Convert to fraction form
    73,698.38/110,547.12 = 21,107.88/x
  3. Step 3: Cross multiply
    73,698.38x = 110,547.12 × 21,107.88
  4. Step 4: Simplify right side
    73,698.38x = 2,333,415,343.31
  5. Step 5: Solve for x
    x = 2,333,415,343.31/73,698.38
  6. Step 6: Final answer
    x = 31,661.69

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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.