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Finding the Fourth Proportional to 153,692.12, 212,096.04 and 85,713.38

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Solution

The fourth proportional to 153,692.12, 212,096.04 and 85,713.38 is: 118,284.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,692.12 : 212,096.04 = 85,713.38 : x
  2. Step 2: Convert to fraction form
    153,692.12/212,096.04 = 85,713.38/x
  3. Step 3: Cross multiply
    153,692.12x = 212,096.04 × 85,713.38
  4. Step 4: Simplify right side
    153,692.12x = 18,179,468,473.02
  5. Step 5: Solve for x
    x = 18,179,468,473.02/153,692.12
  6. Step 6: Final answer
    x = 118,284.97

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1.5x scale

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.