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Finding the Fourth Proportional to 72,995.47, 100,733.47 and 39,461.47

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Solution

The fourth proportional to 72,995.47, 100,733.47 and 39,461.47 is: 54,456.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,995.47 : 100,733.47 = 39,461.47 : x
  2. Step 2: Convert to fraction form
    72,995.47/100,733.47 = 39,461.47/x
  3. Step 3: Cross multiply
    72,995.47x = 100,733.47 × 39,461.47
  4. Step 4: Simplify right side
    72,995.47x = 3,975,090,804.40
  5. Step 5: Solve for x
    x = 3,975,090,804.40/72,995.47
  6. Step 6: Final answer
    x = 54,456.68

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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.