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Finding the Fourth Proportional to 194,145.71, 291,323.21 and 81,903.74

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Solution

The fourth proportional to 194,145.71, 291,323.21 and 81,903.74 is: 122,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,145.71 : 291,323.21 = 81,903.74 : x
  2. Step 2: Convert to fraction form
    194,145.71/291,323.21 = 81,903.74/x
  3. Step 3: Cross multiply
    194,145.71x = 291,323.21 × 81,903.74
  4. Step 4: Simplify right side
    194,145.71x = 23,860,458,581.67
  5. Step 5: Solve for x
    x = 23,860,458,581.67/194,145.71
  6. Step 6: Final answer
    x = 122,899.75

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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.