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Finding the Fourth Proportional to 138,164.82, 190,674.45 and 81,574.98

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Solution

The fourth proportional to 138,164.82, 190,674.45 and 81,574.98 is: 112,577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,164.82 : 190,674.45 = 81,574.98 : x
  2. Step 2: Convert to fraction form
    138,164.82/190,674.45 = 81,574.98/x
  3. Step 3: Cross multiply
    138,164.82x = 190,674.45 × 81,574.98
  4. Step 4: Simplify right side
    138,164.82x = 15,554,264,445.26
  5. Step 5: Solve for x
    x = 15,554,264,445.26/138,164.82
  6. Step 6: Final answer
    x = 112,577.60

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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.