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Finding the Fourth Proportional to 157,409.73, 217,219.08 and 85,788.21

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Solution

The fourth proportional to 157,409.73, 217,219.08 and 85,788.21 is: 118,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,409.73 : 217,219.08 = 85,788.21 : x
  2. Step 2: Convert to fraction form
    157,409.73/217,219.08 = 85,788.21/x
  3. Step 3: Cross multiply
    157,409.73x = 217,219.08 × 85,788.21
  4. Step 4: Simplify right side
    157,409.73x = 18,634,836,051.05
  5. Step 5: Solve for x
    x = 18,634,836,051.05/157,409.73
  6. Step 6: Final answer
    x = 118,384.27

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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.