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Finding the Fourth Proportional to 157,145.94, 216,857.28 and 85,524.48

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Solution

The fourth proportional to 157,145.94, 216,857.28 and 85,524.48 is: 118,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,145.94 : 216,857.28 = 85,524.48 : x
  2. Step 2: Convert to fraction form
    157,145.94/216,857.28 = 85,524.48/x
  3. Step 3: Cross multiply
    157,145.94x = 216,857.28 × 85,524.48
  4. Step 4: Simplify right side
    157,145.94x = 18,546,606,106.21
  5. Step 5: Solve for x
    x = 18,546,606,106.21/157,145.94
  6. Step 6: Final answer
    x = 118,021.54

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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.