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Finding the Fourth Proportional to 189,529, 284,294.94 and 64,871.08

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Solution

The fourth proportional to 189,529, 284,294.94 and 64,871.08 is: 97,307.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,529 : 284,294.94 = 64,871.08 : x
  2. Step 2: Convert to fraction form
    189,529/284,294.94 = 64,871.08/x
  3. Step 3: Cross multiply
    189,529x = 284,294.94 × 64,871.08
  4. Step 4: Simplify right side
    189,529x = 18,442,519,796.34
  5. Step 5: Solve for x
    x = 18,442,519,796.34/189,529
  6. Step 6: Final answer
    x = 97,307.11

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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.