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Finding the Fourth Proportional to 156,192, 215,544.64 and 84,572

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Solution

The fourth proportional to 156,192, 215,544.64 and 84,572 is: 116,709.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,192 : 215,544.64 = 84,572 : x
  2. Step 2: Convert to fraction form
    156,192/215,544.64 = 84,572/x
  3. Step 3: Cross multiply
    156,192x = 215,544.64 × 84,572
  4. Step 4: Simplify right side
    156,192x = 18,229,041,294.08
  5. Step 5: Solve for x
    x = 18,229,041,294.08/156,192
  6. Step 6: Final answer
    x = 116,709.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.