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Finding the Fourth Proportional to 189,467.71, 284,200.50 and 47,312.71

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Solution

The fourth proportional to 189,467.71, 284,200.50 and 47,312.71 is: 70,968.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,467.71 : 284,200.50 = 47,312.71 : x
  2. Step 2: Convert to fraction form
    189,467.71/284,200.50 = 47,312.71/x
  3. Step 3: Cross multiply
    189,467.71x = 284,200.50 × 47,312.71
  4. Step 4: Simplify right side
    189,467.71x = 13,446,295,039.14
  5. Step 5: Solve for x
    x = 13,446,295,039.14/189,467.71
  6. Step 6: Final answer
    x = 70,968.80

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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.