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Finding the Fourth Proportional to 71,047.65, 98,038.77 and 39,214.50

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Solution

The fourth proportional to 71,047.65, 98,038.77 and 39,214.50 is: 54,112.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,047.65 : 98,038.77 = 39,214.50 : x
  2. Step 2: Convert to fraction form
    71,047.65/98,038.77 = 39,214.50/x
  3. Step 3: Cross multiply
    71,047.65x = 98,038.77 × 39,214.50
  4. Step 4: Simplify right side
    71,047.65x = 3,844,541,346.17
  5. Step 5: Solve for x
    x = 3,844,541,346.17/71,047.65
  6. Step 6: Final answer
    x = 54,112.15

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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.