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Finding the Fourth Proportional to 71,431.84, 98,580.24 and 39,602.08

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Solution

The fourth proportional to 71,431.84, 98,580.24 and 39,602.08 is: 54,653.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,431.84 : 98,580.24 = 39,602.08 : x
  2. Step 2: Convert to fraction form
    71,431.84/98,580.24 = 39,602.08/x
  3. Step 3: Cross multiply
    71,431.84x = 98,580.24 × 39,602.08
  4. Step 4: Simplify right side
    71,431.84x = 3,903,982,550.90
  5. Step 5: Solve for x
    x = 3,903,982,550.90/71,431.84
  6. Step 6: Final answer
    x = 54,653.25

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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.