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Finding the Fourth Proportional to 71,047.15, 98,038.08 and 39,214

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Solution

The fourth proportional to 71,047.15, 98,038.08 and 39,214 is: 54,111.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,047.15 : 98,038.08 = 39,214 : x
  2. Step 2: Convert to fraction form
    71,047.15/98,038.08 = 39,214/x
  3. Step 3: Cross multiply
    71,047.15x = 98,038.08 × 39,214
  4. Step 4: Simplify right side
    71,047.15x = 3,844,465,269.12
  5. Step 5: Solve for x
    x = 3,844,465,269.12/71,047.15
  6. Step 6: Final answer
    x = 54,111.46

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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.