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Finding the Fourth Proportional to 71,547.66, 98,739 and 39,717

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Solution

The fourth proportional to 71,547.66, 98,739 and 39,717 is: 54,811.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,547.66 : 98,739 = 39,717 : x
  2. Step 2: Convert to fraction form
    71,547.66/98,739 = 39,717/x
  3. Step 3: Cross multiply
    71,547.66x = 98,739 × 39,717
  4. Step 4: Simplify right side
    71,547.66x = 3,921,616,863
  5. Step 5: Solve for x
    x = 3,921,616,863/71,547.66
  6. Step 6: Final answer
    x = 54,811.25

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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.