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Finding the Fourth Proportional to 89,978.32, 134,969.08 and 27,649.36

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Solution

The fourth proportional to 89,978.32, 134,969.08 and 27,649.36 is: 41,474.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,978.32 : 134,969.08 = 27,649.36 : x
  2. Step 2: Convert to fraction form
    89,978.32/134,969.08 = 27,649.36/x
  3. Step 3: Cross multiply
    89,978.32x = 134,969.08 × 27,649.36
  4. Step 4: Simplify right side
    89,978.32x = 3,731,808,681.79
  5. Step 5: Solve for x
    x = 3,731,808,681.79/89,978.32
  6. Step 6: Final answer
    x = 41,474.53

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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.