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Finding the Fourth Proportional to 102,060.62, 140,832.62 and 56,740.56

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Solution

The fourth proportional to 102,060.62, 140,832.62 and 56,740.56 is: 78,295.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,060.62 : 140,832.62 = 56,740.56 : x
  2. Step 2: Convert to fraction form
    102,060.62/140,832.62 = 56,740.56/x
  3. Step 3: Cross multiply
    102,060.62x = 140,832.62 × 56,740.56
  4. Step 4: Simplify right side
    102,060.62x = 7,990,921,725.07
  5. Step 5: Solve for x
    x = 7,990,921,725.07/102,060.62
  6. Step 6: Final answer
    x = 78,295.84

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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.