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Finding the Fourth Proportional to 207,970.70, 311,956.05 and 113,492.30

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Solution

The fourth proportional to 207,970.70, 311,956.05 and 113,492.30 is: 170,238.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,970.70 : 311,956.05 = 113,492.30 : x
  2. Step 2: Convert to fraction form
    207,970.70/311,956.05 = 113,492.30/x
  3. Step 3: Cross multiply
    207,970.70x = 311,956.05 × 113,492.30
  4. Step 4: Simplify right side
    207,970.70x = 35,404,609,613.42
  5. Step 5: Solve for x
    x = 35,404,609,613.42/207,970.70
  6. Step 6: Final answer
    x = 170,238.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.