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Finding the Fourth Proportional to 115,253, 159,049.14 and 64,953.80

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Solution

The fourth proportional to 115,253, 159,049.14 and 64,953.80 is: 89,636.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,253 : 159,049.14 = 64,953.80 : x
  2. Step 2: Convert to fraction form
    115,253/159,049.14 = 64,953.80/x
  3. Step 3: Cross multiply
    115,253x = 159,049.14 × 64,953.80
  4. Step 4: Simplify right side
    115,253x = 10,330,846,029.73
  5. Step 5: Solve for x
    x = 10,330,846,029.73/115,253
  6. Step 6: Final answer
    x = 89,636.24

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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.