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Finding the Fourth Proportional to 157,027.86, 216,692.22 and 85,407.78

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Solution

The fourth proportional to 157,027.86, 216,692.22 and 85,407.78 is: 117,859.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,027.86 : 216,692.22 = 85,407.78 : x
  2. Step 2: Convert to fraction form
    157,027.86/216,692.22 = 85,407.78/x
  3. Step 3: Cross multiply
    157,027.86x = 216,692.22 × 85,407.78
  4. Step 4: Simplify right side
    157,027.86x = 18,507,201,453.47
  5. Step 5: Solve for x
    x = 18,507,201,453.47/157,027.86
  6. Step 6: Final answer
    x = 117,859.35

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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.