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Finding the Fourth Proportional to 102,334.96, 152,782.90 and 78,192.92

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Solution

The fourth proportional to 102,334.96, 152,782.90 and 78,192.92 is: 116,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,334.96 : 152,782.90 = 78,192.92 : x
  2. Step 2: Convert to fraction form
    102,334.96/152,782.90 = 78,192.92/x
  3. Step 3: Cross multiply
    102,334.96x = 152,782.90 × 78,192.92
  4. Step 4: Simplify right side
    102,334.96x = 11,946,540,654.08
  5. Step 5: Solve for x
    x = 11,946,540,654.08/102,334.96
  6. Step 6: Final answer
    x = 116,739.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.