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Finding the Fourth Proportional to 121,224.73, 181,636.59 and 61,978.90

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Solution

The fourth proportional to 121,224.73, 181,636.59 and 61,978.90 is: 92,865.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,224.73 : 181,636.59 = 61,978.90 : x
  2. Step 2: Convert to fraction form
    121,224.73/181,636.59 = 61,978.90/x
  3. Step 3: Cross multiply
    121,224.73x = 181,636.59 × 61,978.90
  4. Step 4: Simplify right side
    121,224.73x = 11,257,636,047.95
  5. Step 5: Solve for x
    x = 11,257,636,047.95/121,224.73
  6. Step 6: Final answer
    x = 92,865.84

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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.