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Finding the Fourth Proportional to 72,777.68, 100,434.12 and 40,946.64

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Solution

The fourth proportional to 72,777.68, 100,434.12 and 40,946.64 is: 56,506.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,777.68 : 100,434.12 = 40,946.64 : x
  2. Step 2: Convert to fraction form
    72,777.68/100,434.12 = 40,946.64/x
  3. Step 3: Cross multiply
    72,777.68x = 100,434.12 × 40,946.64
  4. Step 4: Simplify right side
    72,777.68x = 4,112,439,755.36
  5. Step 5: Solve for x
    x = 4,112,439,755.36/72,777.68
  6. Step 6: Final answer
    x = 56,506.88

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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.