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Finding the Fourth Proportional to 157,598.46, 217,485.41 and 85,977.97

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Solution

The fourth proportional to 157,598.46, 217,485.41 and 85,977.97 is: 118,649.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,598.46 : 217,485.41 = 85,977.97 : x
  2. Step 2: Convert to fraction form
    157,598.46/217,485.41 = 85,977.97/x
  3. Step 3: Cross multiply
    157,598.46x = 217,485.41 × 85,977.97
  4. Step 4: Simplify right side
    157,598.46x = 18,698,953,082.81
  5. Step 5: Solve for x
    x = 18,698,953,082.81/157,598.46
  6. Step 6: Final answer
    x = 118,649.34

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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.