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Finding the Fourth Proportional to 66,938.28, 92,364.54 and 38,638.50

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Solution

The fourth proportional to 66,938.28, 92,364.54 and 38,638.50 is: 53,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,938.28 : 92,364.54 = 38,638.50 : x
  2. Step 2: Convert to fraction form
    66,938.28/92,364.54 = 38,638.50/x
  3. Step 3: Cross multiply
    66,938.28x = 92,364.54 × 38,638.50
  4. Step 4: Simplify right side
    66,938.28x = 3,568,827,278.79
  5. Step 5: Solve for x
    x = 3,568,827,278.79/66,938.28
  6. Step 6: Final answer
    x = 53,315.19

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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.