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Finding the Fourth Proportional to 99,978.66, 149,967.97 and 40,034.12

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Solution

The fourth proportional to 99,978.66, 149,967.97 and 40,034.12 is: 60,051.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,978.66 : 149,967.97 = 40,034.12 : x
  2. Step 2: Convert to fraction form
    99,978.66/149,967.97 = 40,034.12/x
  3. Step 3: Cross multiply
    99,978.66x = 149,967.97 × 40,034.12
  4. Step 4: Simplify right side
    99,978.66x = 6,003,834,857.21
  5. Step 5: Solve for x
    x = 6,003,834,857.21/99,978.66
  6. Step 6: Final answer
    x = 60,051.16

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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.