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Finding the Fourth Proportional to 138,172, 190,677.36 and 78,556

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Solution

The fourth proportional to 138,172, 190,677.36 and 78,556 is: 108,407.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,172 : 190,677.36 = 78,556 : x
  2. Step 2: Convert to fraction form
    138,172/190,677.36 = 78,556/x
  3. Step 3: Cross multiply
    138,172x = 190,677.36 × 78,556
  4. Step 4: Simplify right side
    138,172x = 14,978,850,692.16
  5. Step 5: Solve for x
    x = 14,978,850,692.16/138,172
  6. Step 6: Final answer
    x = 108,407.28

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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.