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Finding the Fourth Proportional to 120,785.64, 181,143.90 and 37,657.32

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Solution

The fourth proportional to 120,785.64, 181,143.90 and 37,657.32 is: 56,475.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,785.64 : 181,143.90 = 37,657.32 : x
  2. Step 2: Convert to fraction form
    120,785.64/181,143.90 = 37,657.32/x
  3. Step 3: Cross multiply
    120,785.64x = 181,143.90 × 37,657.32
  4. Step 4: Simplify right side
    120,785.64x = 6,821,393,808.35
  5. Step 5: Solve for x
    x = 6,821,393,808.35/120,785.64
  6. Step 6: Final answer
    x = 56,475.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.