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Finding the Fourth Proportional to 157,475.78, 217,316.42 and 85,855.78

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Solution

The fourth proportional to 157,475.78, 217,316.42 and 85,855.78 is: 118,480.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,475.78 : 217,316.42 = 85,855.78 : x
  2. Step 2: Convert to fraction form
    157,475.78/217,316.42 = 85,855.78/x
  3. Step 3: Cross multiply
    157,475.78x = 217,316.42 × 85,855.78
  4. Step 4: Simplify right side
    157,475.78x = 18,657,871,800.64
  5. Step 5: Solve for x
    x = 18,657,871,800.64/157,475.78
  6. Step 6: Final answer
    x = 118,480.90

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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.