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Finding the Fourth Proportional to 97,694, 146,547.21 and 27,578.78

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Solution

The fourth proportional to 97,694, 146,547.21 and 27,578.78 is: 41,369.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,694 : 146,547.21 = 27,578.78 : x
  2. Step 2: Convert to fraction form
    97,694/146,547.21 = 27,578.78/x
  3. Step 3: Cross multiply
    97,694x = 146,547.21 × 27,578.78
  4. Step 4: Simplify right side
    97,694x = 4,041,593,264.20
  5. Step 5: Solve for x
    x = 4,041,593,264.20/97,694
  6. Step 6: Final answer
    x = 41,369.92

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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.