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Finding the Fourth Proportional to 70,971.88, 97,941.90 and 39,142

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Solution

The fourth proportional to 70,971.88, 97,941.90 and 39,142 is: 54,016.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,971.88 : 97,941.90 = 39,142 : x
  2. Step 2: Convert to fraction form
    70,971.88/97,941.90 = 39,142/x
  3. Step 3: Cross multiply
    70,971.88x = 97,941.90 × 39,142
  4. Step 4: Simplify right side
    70,971.88x = 3,833,641,849.80
  5. Step 5: Solve for x
    x = 3,833,641,849.80/70,971.88
  6. Step 6: Final answer
    x = 54,016.35

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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.