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Finding the Fourth Proportional to 156,393.06, 215,822.20 and 84,773.06

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Solution

The fourth proportional to 156,393.06, 215,822.20 and 84,773.06 is: 116,986.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,393.06 : 215,822.20 = 84,773.06 : x
  2. Step 2: Convert to fraction form
    156,393.06/215,822.20 = 84,773.06/x
  3. Step 3: Cross multiply
    156,393.06x = 215,822.20 × 84,773.06
  4. Step 4: Simplify right side
    156,393.06x = 18,295,908,309.93
  5. Step 5: Solve for x
    x = 18,295,908,309.93/156,393.06
  6. Step 6: Final answer
    x = 116,986.70

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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.