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Finding the Fourth Proportional to 189,767.99, 284,421.81 and 139,380.88

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Solution

The fourth proportional to 189,767.99, 284,421.81 and 139,380.88 is: 208,902.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,767.99 : 284,421.81 = 139,380.88 : x
  2. Step 2: Convert to fraction form
    189,767.99/284,421.81 = 139,380.88/x
  3. Step 3: Cross multiply
    189,767.99x = 284,421.81 × 139,380.88
  4. Step 4: Simplify right side
    189,767.99x = 39,642,960,537.95
  5. Step 5: Solve for x
    x = 39,642,960,537.95/189,767.99
  6. Step 6: Final answer
    x = 208,902.25

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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.