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Finding the Fourth Proportional to 100,018.30, 138,038.31 and 57,578.62

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Solution

The fourth proportional to 100,018.30, 138,038.31 and 57,578.62 is: 79,466.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,018.30 : 138,038.31 = 57,578.62 : x
  2. Step 2: Convert to fraction form
    100,018.30/138,038.31 = 57,578.62/x
  3. Step 3: Cross multiply
    100,018.30x = 138,038.31 × 57,578.62
  4. Step 4: Simplify right side
    100,018.30x = 7,948,055,396.93
  5. Step 5: Solve for x
    x = 7,948,055,396.93/100,018.30
  6. Step 6: Final answer
    x = 79,466.01

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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.