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Finding the Fourth Proportional to 187,697.52, 259,029.72 and 107,138.16

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Solution

The fourth proportional to 187,697.52, 259,029.72 and 107,138.16 is: 147,854.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,697.52 : 259,029.72 = 107,138.16 : x
  2. Step 2: Convert to fraction form
    187,697.52/259,029.72 = 107,138.16/x
  3. Step 3: Cross multiply
    187,697.52x = 259,029.72 × 107,138.16
  4. Step 4: Simplify right side
    187,697.52x = 27,751,967,586.12
  5. Step 5: Solve for x
    x = 27,751,967,586.12/187,697.52
  6. Step 6: Final answer
    x = 147,854.74

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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.