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Finding the Fourth Proportional to 114,115.68, 157,522.86 and 102,157.56

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Solution

The fourth proportional to 114,115.68, 157,522.86 and 102,157.56 is: 141,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,115.68 : 157,522.86 = 102,157.56 : x
  2. Step 2: Convert to fraction form
    114,115.68/157,522.86 = 102,157.56/x
  3. Step 3: Cross multiply
    114,115.68x = 157,522.86 × 102,157.56
  4. Step 4: Simplify right side
    114,115.68x = 16,092,151,021.82
  5. Step 5: Solve for x
    x = 16,092,151,021.82/114,115.68
  6. Step 6: Final answer
    x = 141,016.13

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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.