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Finding the Fourth Proportional to 157,626.56, 217,492.80 and 100,288.64

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Solution

The fourth proportional to 157,626.56, 217,492.80 and 100,288.64 is: 138,378.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,626.56 : 217,492.80 = 100,288.64 : x
  2. Step 2: Convert to fraction form
    157,626.56/217,492.80 = 100,288.64/x
  3. Step 3: Cross multiply
    157,626.56x = 217,492.80 × 100,288.64
  4. Step 4: Simplify right side
    157,626.56x = 21,812,057,121.79
  5. Step 5: Solve for x
    x = 21,812,057,121.79/157,626.56
  6. Step 6: Final answer
    x = 138,378.06

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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.