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Finding the Fourth Proportional to 53,728.04, 80,571 and 31,547

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Solution

The fourth proportional to 53,728.04, 80,571 and 31,547 is: 47,308.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,728.04 : 80,571 = 31,547 : x
  2. Step 2: Convert to fraction form
    53,728.04/80,571 = 31,547/x
  3. Step 3: Cross multiply
    53,728.04x = 80,571 × 31,547
  4. Step 4: Simplify right side
    53,728.04x = 2,541,773,337
  5. Step 5: Solve for x
    x = 2,541,773,337/53,728.04
  6. Step 6: Final answer
    x = 47,308.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.