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Finding the Fourth Proportional to 71,250, 98,316.48 and 39,414.57

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Solution

The fourth proportional to 71,250, 98,316.48 and 39,414.57 is: 54,387.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,250 : 98,316.48 = 39,414.57 : x
  2. Step 2: Convert to fraction form
    71,250/98,316.48 = 39,414.57/x
  3. Step 3: Cross multiply
    71,250x = 98,316.48 × 39,414.57
  4. Step 4: Simplify right side
    71,250x = 3,875,101,783.11
  5. Step 5: Solve for x
    x = 3,875,101,783.11/71,250
  6. Step 6: Final answer
    x = 54,387.39

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1.5x scale

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.