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Finding the Fourth Proportional to 78,405.40, 108,200.77 and 42,595.44

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Solution

The fourth proportional to 78,405.40, 108,200.77 and 42,595.44 is: 58,782.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,405.40 : 108,200.77 = 42,595.44 : x
  2. Step 2: Convert to fraction form
    78,405.40/108,200.77 = 42,595.44/x
  3. Step 3: Cross multiply
    78,405.40x = 108,200.77 × 42,595.44
  4. Step 4: Simplify right side
    78,405.40x = 4,608,859,300.00
  5. Step 5: Solve for x
    x = 4,608,859,300.00/78,405.40
  6. Step 6: Final answer
    x = 58,782.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.