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Finding the Fourth Proportional to 72,769.08, 100,421.16 and 40,938

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Solution

The fourth proportional to 72,769.08, 100,421.16 and 40,938 is: 56,494.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,769.08 : 100,421.16 = 40,938 : x
  2. Step 2: Convert to fraction form
    72,769.08/100,421.16 = 40,938/x
  3. Step 3: Cross multiply
    72,769.08x = 100,421.16 × 40,938
  4. Step 4: Simplify right side
    72,769.08x = 4,111,041,448.08
  5. Step 5: Solve for x
    x = 4,111,041,448.08/72,769.08
  6. Step 6: Final answer
    x = 56,494.34

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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.