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Finding the Fourth Proportional to 157,422.16, 217,119.72 and 100,838.80

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Solution

The fourth proportional to 157,422.16, 217,119.72 and 100,838.80 is: 139,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,422.16 : 217,119.72 = 100,838.80 : x
  2. Step 2: Convert to fraction form
    157,422.16/217,119.72 = 100,838.80/x
  3. Step 3: Cross multiply
    157,422.16x = 217,119.72 × 100,838.80
  4. Step 4: Simplify right side
    157,422.16x = 21,894,092,021.14
  5. Step 5: Solve for x
    x = 21,894,092,021.14/157,422.16
  6. Step 6: Final answer
    x = 139,078.84

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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.