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Finding the Fourth Proportional to 100,390.71, 138,539.16 and 57,949.24

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Solution

The fourth proportional to 100,390.71, 138,539.16 and 57,949.24 is: 79,969.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,390.71 : 138,539.16 = 57,949.24 : x
  2. Step 2: Convert to fraction form
    100,390.71/138,539.16 = 57,949.24/x
  3. Step 3: Cross multiply
    100,390.71x = 138,539.16 × 57,949.24
  4. Step 4: Simplify right side
    100,390.71x = 8,028,238,685.89
  5. Step 5: Solve for x
    x = 8,028,238,685.89/100,390.71
  6. Step 6: Final answer
    x = 79,969.94

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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.