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Finding the Fourth Proportional to 101,822.52, 152,656.98 and 66,771

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Solution

The fourth proportional to 101,822.52, 152,656.98 and 66,771 is: 100,106.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,822.52 : 152,656.98 = 66,771 : x
  2. Step 2: Convert to fraction form
    101,822.52/152,656.98 = 66,771/x
  3. Step 3: Cross multiply
    101,822.52x = 152,656.98 × 66,771
  4. Step 4: Simplify right side
    101,822.52x = 10,193,059,211.58
  5. Step 5: Solve for x
    x = 10,193,059,211.58/101,822.52
  6. Step 6: Final answer
    x = 100,106.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.