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Finding the Fourth Proportional to 72,761.45, 100,407.85 and 40,495.16

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Solution

The fourth proportional to 72,761.45, 100,407.85 and 40,495.16 is: 55,881.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,761.45 : 100,407.85 = 40,495.16 : x
  2. Step 2: Convert to fraction form
    72,761.45/100,407.85 = 40,495.16/x
  3. Step 3: Cross multiply
    72,761.45x = 100,407.85 × 40,495.16
  4. Step 4: Simplify right side
    72,761.45x = 4,066,031,951.01
  5. Step 5: Solve for x
    x = 4,066,031,951.01/72,761.45
  6. Step 6: Final answer
    x = 55,881.68

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1.5x scale

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.