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Finding the Fourth Proportional to 131,697, 181,743.14 and 72,082.28

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Solution

The fourth proportional to 131,697, 181,743.14 and 72,082.28 is: 99,474.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,697 : 181,743.14 = 72,082.28 : x
  2. Step 2: Convert to fraction form
    131,697/181,743.14 = 72,082.28/x
  3. Step 3: Cross multiply
    131,697x = 181,743.14 × 72,082.28
  4. Step 4: Simplify right side
    131,697x = 13,100,459,905.56
  5. Step 5: Solve for x
    x = 13,100,459,905.56/131,697
  6. Step 6: Final answer
    x = 99,474.25

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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.