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Finding the Fourth Proportional to 157,428.44, 217,253.43 and 85,808.33

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Solution

The fourth proportional to 157,428.44, 217,253.43 and 85,808.33 is: 118,416.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,428.44 : 217,253.43 = 85,808.33 : x
  2. Step 2: Convert to fraction form
    157,428.44/217,253.43 = 85,808.33/x
  3. Step 3: Cross multiply
    157,428.44x = 217,253.43 × 85,808.33
  4. Step 4: Simplify right side
    157,428.44x = 18,642,152,928.80
  5. Step 5: Solve for x
    x = 18,642,152,928.80/157,428.44
  6. Step 6: Final answer
    x = 118,416.68

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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.