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Finding the Fourth Proportional to 75,106.64, 103,536.76 and 57,170.40

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Solution

The fourth proportional to 75,106.64, 103,536.76 and 57,170.40 is: 78,811.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,106.64 : 103,536.76 = 57,170.40 : x
  2. Step 2: Convert to fraction form
    75,106.64/103,536.76 = 57,170.40/x
  3. Step 3: Cross multiply
    75,106.64x = 103,536.76 × 57,170.40
  4. Step 4: Simplify right side
    75,106.64x = 5,919,237,983.90
  5. Step 5: Solve for x
    x = 5,919,237,983.90/75,106.64
  6. Step 6: Final answer
    x = 78,811.11

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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.