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Finding the Fourth Proportional to 156,471.84, 215,931.11 and 84,852

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Solution

The fourth proportional to 156,471.84, 215,931.11 and 84,852 is: 117,095.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,471.84 : 215,931.11 = 84,852 : x
  2. Step 2: Convert to fraction form
    156,471.84/215,931.11 = 84,852/x
  3. Step 3: Cross multiply
    156,471.84x = 215,931.11 × 84,852
  4. Step 4: Simplify right side
    156,471.84x = 18,322,186,121.46
  5. Step 5: Solve for x
    x = 18,322,186,121.46/156,471.84
  6. Step 6: Final answer
    x = 117,095.74

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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.