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Finding the Fourth Proportional to 120,827.84, 166,730 and 70,556

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Solution

The fourth proportional to 120,827.84, 166,730 and 70,556 is: 97,360.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,827.84 : 166,730 = 70,556 : x
  2. Step 2: Convert to fraction form
    120,827.84/166,730 = 70,556/x
  3. Step 3: Cross multiply
    120,827.84x = 166,730 × 70,556
  4. Step 4: Simplify right side
    120,827.84x = 11,763,801,880
  5. Step 5: Solve for x
    x = 11,763,801,880/120,827.84
  6. Step 6: Final answer
    x = 97,360.03

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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.