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Finding the Fourth Proportional to 71,652.94, 98,880.34 and 39,821.20

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Solution

The fourth proportional to 71,652.94, 98,880.34 and 39,821.20 is: 54,952.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,652.94 : 98,880.34 = 39,821.20 : x
  2. Step 2: Convert to fraction form
    71,652.94/98,880.34 = 39,821.20/x
  3. Step 3: Cross multiply
    71,652.94x = 98,880.34 × 39,821.20
  4. Step 4: Simplify right side
    71,652.94x = 3,937,533,795.21
  5. Step 5: Solve for x
    x = 3,937,533,795.21/71,652.94
  6. Step 6: Final answer
    x = 54,952.86

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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.