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Finding the Fourth Proportional to 139,072.32, 191,854.80 and 81,692.64

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Solution

The fourth proportional to 139,072.32, 191,854.80 and 81,692.64 is: 112,697.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,072.32 : 191,854.80 = 81,692.64 : x
  2. Step 2: Convert to fraction form
    139,072.32/191,854.80 = 81,692.64/x
  3. Step 3: Cross multiply
    139,072.32x = 191,854.80 × 81,692.64
  4. Step 4: Simplify right side
    139,072.32x = 15,673,125,108.67
  5. Step 5: Solve for x
    x = 15,673,125,108.67/139,072.32
  6. Step 6: Final answer
    x = 112,697.66

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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.