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Finding the Fourth Proportional to 71,682.32, 98,916.98 and 39,850.40

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Solution

The fourth proportional to 71,682.32, 98,916.98 and 39,850.40 is: 54,990.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,682.32 : 98,916.98 = 39,850.40 : x
  2. Step 2: Convert to fraction form
    71,682.32/98,916.98 = 39,850.40/x
  3. Step 3: Cross multiply
    71,682.32x = 98,916.98 × 39,850.40
  4. Step 4: Simplify right side
    71,682.32x = 3,941,881,219.79
  5. Step 5: Solve for x
    x = 3,941,881,219.79/71,682.32
  6. Step 6: Final answer
    x = 54,990.98

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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.