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Finding the Fourth Proportional to 135,651, 187,200.64 and 75,224.20

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Solution

The fourth proportional to 135,651, 187,200.64 and 75,224.20 is: 103,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,651 : 187,200.64 = 75,224.20 : x
  2. Step 2: Convert to fraction form
    135,651/187,200.64 = 75,224.20/x
  3. Step 3: Cross multiply
    135,651x = 187,200.64 × 75,224.20
  4. Step 4: Simplify right side
    135,651x = 14,082,018,383.49
  5. Step 5: Solve for x
    x = 14,082,018,383.49/135,651
  6. Step 6: Final answer
    x = 103,810.65

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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.