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Finding the Fourth Proportional to 101,389.82, 152,083.06 and 30,312.62

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Solution

The fourth proportional to 101,389.82, 152,083.06 and 30,312.62 is: 45,468.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,389.82 : 152,083.06 = 30,312.62 : x
  2. Step 2: Convert to fraction form
    101,389.82/152,083.06 = 30,312.62/x
  3. Step 3: Cross multiply
    101,389.82x = 152,083.06 × 30,312.62
  4. Step 4: Simplify right side
    101,389.82x = 4,610,036,310.64
  5. Step 5: Solve for x
    x = 4,610,036,310.64/101,389.82
  6. Step 6: Final answer
    x = 45,468.43

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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.