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Finding the Fourth Proportional to 74,188.32, 102,379.92 and 40,654.32

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Solution

The fourth proportional to 74,188.32, 102,379.92 and 40,654.32 is: 56,102.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,188.32 : 102,379.92 = 40,654.32 : x
  2. Step 2: Convert to fraction form
    74,188.32/102,379.92 = 40,654.32/x
  3. Step 3: Cross multiply
    74,188.32x = 102,379.92 × 40,654.32
  4. Step 4: Simplify right side
    74,188.32x = 4,162,186,029.25
  5. Step 5: Solve for x
    x = 4,162,186,029.25/74,188.32
  6. Step 6: Final answer
    x = 56,102.98

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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.