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Finding the Fourth Proportional to 78,826.80, 118,313.10 and 39,412.20

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Solution

The fourth proportional to 78,826.80, 118,313.10 and 39,412.20 is: 59,154.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,826.80 : 118,313.10 = 39,412.20 : x
  2. Step 2: Convert to fraction form
    78,826.80/118,313.10 = 39,412.20/x
  3. Step 3: Cross multiply
    78,826.80x = 118,313.10 × 39,412.20
  4. Step 4: Simplify right side
    78,826.80x = 4,662,979,559.82
  5. Step 5: Solve for x
    x = 4,662,979,559.82/78,826.80
  6. Step 6: Final answer
    x = 59,154.75

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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.