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Finding the Fourth Proportional to 136,140.98, 187,847.57 and 82,431

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Solution

The fourth proportional to 136,140.98, 187,847.57 and 82,431 is: 113,738.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,140.98 : 187,847.57 = 82,431 : x
  2. Step 2: Convert to fraction form
    136,140.98/187,847.57 = 82,431/x
  3. Step 3: Cross multiply
    136,140.98x = 187,847.57 × 82,431
  4. Step 4: Simplify right side
    136,140.98x = 15,484,463,248.75
  5. Step 5: Solve for x
    x = 15,484,463,248.75/136,140.98
  6. Step 6: Final answer
    x = 113,738.45

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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.