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Finding the Fourth Proportional to 72,808.74, 100,476 and 40,977.78

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Solution

The fourth proportional to 72,808.74, 100,476 and 40,977.78 is: 56,549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,808.74 : 100,476 = 40,977.78 : x
  2. Step 2: Convert to fraction form
    72,808.74/100,476 = 40,977.78/x
  3. Step 3: Cross multiply
    72,808.74x = 100,476 × 40,977.78
  4. Step 4: Simplify right side
    72,808.74x = 4,117,283,423.28
  5. Step 5: Solve for x
    x = 4,117,283,423.28/72,808.74
  6. Step 6: Final answer
    x = 56,549.30

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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.