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Finding the Fourth Proportional to 157,395.79, 217,199.87 and 85,774.27

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Solution

The fourth proportional to 157,395.79, 217,199.87 and 85,774.27 is: 118,365.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,395.79 : 217,199.87 = 85,774.27 : x
  2. Step 2: Convert to fraction form
    157,395.79/217,199.87 = 85,774.27/x
  3. Step 3: Cross multiply
    157,395.79x = 217,199.87 × 85,774.27
  4. Step 4: Simplify right side
    157,395.79x = 18,630,160,293.34
  5. Step 5: Solve for x
    x = 18,630,160,293.34/157,395.79
  6. Step 6: Final answer
    x = 118,365.05

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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.