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Finding the Fourth Proportional to 140,064.86, 193,285.14 and 79,642.10

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Solution

The fourth proportional to 140,064.86, 193,285.14 and 79,642.10 is: 109,903.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,064.86 : 193,285.14 = 79,642.10 : x
  2. Step 2: Convert to fraction form
    140,064.86/193,285.14 = 79,642.10/x
  3. Step 3: Cross multiply
    140,064.86x = 193,285.14 × 79,642.10
  4. Step 4: Simplify right side
    140,064.86x = 15,393,634,448.39
  5. Step 5: Solve for x
    x = 15,393,634,448.39/140,064.86
  6. Step 6: Final answer
    x = 109,903.61

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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.