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Finding the Fourth Proportional to 189,656.12, 284,495.12 and 71,328.48

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Solution

The fourth proportional to 189,656.12, 284,495.12 and 71,328.48 is: 106,996.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,656.12 : 284,495.12 = 71,328.48 : x
  2. Step 2: Convert to fraction form
    189,656.12/284,495.12 = 71,328.48/x
  3. Step 3: Cross multiply
    189,656.12x = 284,495.12 × 71,328.48
  4. Step 4: Simplify right side
    189,656.12x = 20,292,604,477.02
  5. Step 5: Solve for x
    x = 20,292,604,477.02/189,656.12
  6. Step 6: Final answer
    x = 106,996.83

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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.