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Finding the Fourth Proportional to 71,528.96, 98,709.24 and 39,698.12

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Solution

The fourth proportional to 71,528.96, 98,709.24 and 39,698.12 is: 54,783.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,528.96 : 98,709.24 = 39,698.12 : x
  2. Step 2: Convert to fraction form
    71,528.96/98,709.24 = 39,698.12/x
  3. Step 3: Cross multiply
    71,528.96x = 98,709.24 × 39,698.12
  4. Step 4: Simplify right side
    71,528.96x = 3,918,571,254.63
  5. Step 5: Solve for x
    x = 3,918,571,254.63/71,528.96
  6. Step 6: Final answer
    x = 54,783.00

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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.