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Finding the Fourth Proportional to 72,655.79, 100,273.95 and 40,824

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Solution

The fourth proportional to 72,655.79, 100,273.95 and 40,824 is: 56,342.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,655.79 : 100,273.95 = 40,824 : x
  2. Step 2: Convert to fraction form
    72,655.79/100,273.95 = 40,824/x
  3. Step 3: Cross multiply
    72,655.79x = 100,273.95 × 40,824
  4. Step 4: Simplify right side
    72,655.79x = 4,093,583,734.80
  5. Step 5: Solve for x
    x = 4,093,583,734.80/72,655.79
  6. Step 6: Final answer
    x = 56,342.16

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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.