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Finding the Fourth Proportional to 78,053.66, 117,059.22 and 21,890.28

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Solution

The fourth proportional to 78,053.66, 117,059.22 and 21,890.28 is: 32,829.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,053.66 : 117,059.22 = 21,890.28 : x
  2. Step 2: Convert to fraction form
    78,053.66/117,059.22 = 21,890.28/x
  3. Step 3: Cross multiply
    78,053.66x = 117,059.22 × 21,890.28
  4. Step 4: Simplify right side
    78,053.66x = 2,562,459,102.38
  5. Step 5: Solve for x
    x = 2,562,459,102.38/78,053.66
  6. Step 6: Final answer
    x = 32,829.45

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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.