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Finding the Fourth Proportional to 100,276.80, 138,396.72 and 57,827.04

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Solution

The fourth proportional to 100,276.80, 138,396.72 and 57,827.04 is: 79,809.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,276.80 : 138,396.72 = 57,827.04 : x
  2. Step 2: Convert to fraction form
    100,276.80/138,396.72 = 57,827.04/x
  3. Step 3: Cross multiply
    100,276.80x = 138,396.72 × 57,827.04
  4. Step 4: Simplify right side
    100,276.80x = 8,003,072,663.31
  5. Step 5: Solve for x
    x = 8,003,072,663.31/100,276.80
  6. Step 6: Final answer
    x = 79,809.81

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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.