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Finding the Fourth Proportional to 157,052.86, 216,735.55 and 85,433.27

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Solution

The fourth proportional to 157,052.86, 216,735.55 and 85,433.27 is: 117,899.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,052.86 : 216,735.55 = 85,433.27 : x
  2. Step 2: Convert to fraction form
    157,052.86/216,735.55 = 85,433.27/x
  3. Step 3: Cross multiply
    157,052.86x = 216,735.55 × 85,433.27
  4. Step 4: Simplify right side
    157,052.86x = 18,516,425,464.49
  5. Step 5: Solve for x
    x = 18,516,425,464.49/157,052.86
  6. Step 6: Final answer
    x = 117,899.32

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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.