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Finding the Fourth Proportional to 78,458.23, 117,687.34 and 78,458.23

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Solution

The fourth proportional to 78,458.23, 117,687.34 and 78,458.23 is: 117,687.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,458.23 : 117,687.34 = 78,458.23 : x
  2. Step 2: Convert to fraction form
    78,458.23/117,687.34 = 78,458.23/x
  3. Step 3: Cross multiply
    78,458.23x = 117,687.34 × 78,458.23
  4. Step 4: Simplify right side
    78,458.23x = 9,233,539,801.37
  5. Step 5: Solve for x
    x = 9,233,539,801.37/78,458.23
  6. Step 6: Final answer
    x = 117,687.34

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Similar ratio
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1.5x scale

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.