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Finding the Fourth Proportional to 156,537.84, 216,020.55 and 84,917.25

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Solution

The fourth proportional to 156,537.84, 216,020.55 and 84,917.25 is: 117,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,537.84 : 216,020.55 = 84,917.25 : x
  2. Step 2: Convert to fraction form
    156,537.84/216,020.55 = 84,917.25/x
  3. Step 3: Cross multiply
    156,537.84x = 216,020.55 × 84,917.25
  4. Step 4: Simplify right side
    156,537.84x = 18,343,871,049.49
  5. Step 5: Solve for x
    x = 18,343,871,049.49/156,537.84
  6. Step 6: Final answer
    x = 117,184.90

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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.