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Finding the Fourth Proportional to 78,769.30, 118,045.95 and 50,602.90

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Solution

The fourth proportional to 78,769.30, 118,045.95 and 50,602.90 is: 75,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,769.30 : 118,045.95 = 50,602.90 : x
  2. Step 2: Convert to fraction form
    78,769.30/118,045.95 = 50,602.90/x
  3. Step 3: Cross multiply
    78,769.30x = 118,045.95 × 50,602.90
  4. Step 4: Simplify right side
    78,769.30x = 5,973,467,403.26
  5. Step 5: Solve for x
    x = 5,973,467,403.26/78,769.30
  6. Step 6: Final answer
    x = 75,834.97

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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.