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Finding the Fourth Proportional to 40,978.26, 61,507.44 and 21,003.66

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Solution

The fourth proportional to 40,978.26, 61,507.44 and 21,003.66 is: 31,526.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,978.26 : 61,507.44 = 21,003.66 : x
  2. Step 2: Convert to fraction form
    40,978.26/61,507.44 = 21,003.66/x
  3. Step 3: Cross multiply
    40,978.26x = 61,507.44 × 21,003.66
  4. Step 4: Simplify right side
    40,978.26x = 1,291,881,357.23
  5. Step 5: Solve for x
    x = 1,291,881,357.23/40,978.26
  6. Step 6: Final answer
    x = 31,526.02

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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.