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Finding the Fourth Proportional to 157,396.84, 217,201.32 and 85,775.34

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Solution

The fourth proportional to 157,396.84, 217,201.32 and 85,775.34 is: 118,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,396.84 : 217,201.32 = 85,775.34 : x
  2. Step 2: Convert to fraction form
    157,396.84/217,201.32 = 85,775.34/x
  3. Step 3: Cross multiply
    157,396.84x = 217,201.32 × 85,775.34
  4. Step 4: Simplify right side
    157,396.84x = 18,630,517,071.45
  5. Step 5: Solve for x
    x = 18,630,517,071.45/157,396.84
  6. Step 6: Final answer
    x = 118,366.53

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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.