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Finding the Fourth Proportional to 140,345.61, 193,676.77 and 75,814.83

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Solution

The fourth proportional to 140,345.61, 193,676.77 and 75,814.83 is: 104,624.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,345.61 : 193,676.77 = 75,814.83 : x
  2. Step 2: Convert to fraction form
    140,345.61/193,676.77 = 75,814.83/x
  3. Step 3: Cross multiply
    140,345.61x = 193,676.77 × 75,814.83
  4. Step 4: Simplify right side
    140,345.61x = 14,683,571,487.27
  5. Step 5: Solve for x
    x = 14,683,571,487.27/140,345.61
  6. Step 6: Final answer
    x = 104,624.38

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1.5x scale

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.