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Finding the Fourth Proportional to 186,394.94, 257,189.67 and 118,422.98

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Solution

The fourth proportional to 186,394.94, 257,189.67 and 118,422.98 is: 163,401.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,394.94 : 257,189.67 = 118,422.98 : x
  2. Step 2: Convert to fraction form
    186,394.94/257,189.67 = 118,422.98/x
  3. Step 3: Cross multiply
    186,394.94x = 257,189.67 × 118,422.98
  4. Step 4: Simplify right side
    186,394.94x = 30,457,167,146.62
  5. Step 5: Solve for x
    x = 30,457,167,146.62/186,394.94
  6. Step 6: Final answer
    x = 163,401.26

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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.