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Finding the Fourth Proportional to 78,580.52, 117,889.07 and 22,421.39

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Solution

The fourth proportional to 78,580.52, 117,889.07 and 22,421.39 is: 33,637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,580.52 : 117,889.07 = 22,421.39 : x
  2. Step 2: Convert to fraction form
    78,580.52/117,889.07 = 22,421.39/x
  3. Step 3: Cross multiply
    78,580.52x = 117,889.07 × 22,421.39
  4. Step 4: Simplify right side
    78,580.52x = 2,643,236,113.66
  5. Step 5: Solve for x
    x = 2,643,236,113.66/78,580.52
  6. Step 6: Final answer
    x = 33,637.30

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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.