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Finding the Fourth Proportional to 72,999, 100,738.66 and 39,465

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Solution

The fourth proportional to 72,999, 100,738.66 and 39,465 is: 54,461.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,999 : 100,738.66 = 39,465 : x
  2. Step 2: Convert to fraction form
    72,999/100,738.66 = 39,465/x
  3. Step 3: Cross multiply
    72,999x = 100,738.66 × 39,465
  4. Step 4: Simplify right side
    72,999x = 3,975,651,216.90
  5. Step 5: Solve for x
    x = 3,975,651,216.90/72,999
  6. Step 6: Final answer
    x = 54,461.72

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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.