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Finding the Fourth Proportional to 100,578, 150,867 and 25,698.31

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Solution

The fourth proportional to 100,578, 150,867 and 25,698.31 is: 38,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,578 : 150,867 = 25,698.31 : x
  2. Step 2: Convert to fraction form
    100,578/150,867 = 25,698.31/x
  3. Step 3: Cross multiply
    100,578x = 150,867 × 25,698.31
  4. Step 4: Simplify right side
    100,578x = 3,877,026,934.77
  5. Step 5: Solve for x
    x = 3,877,026,934.77/100,578
  6. Step 6: Final answer
    x = 38,547.47

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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.