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Finding the Fourth Proportional to 71,392.32, 107,066.34 and 57,319.20

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Solution

The fourth proportional to 71,392.32, 107,066.34 and 57,319.20 is: 85,961.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,392.32 : 107,066.34 = 57,319.20 : x
  2. Step 2: Convert to fraction form
    71,392.32/107,066.34 = 57,319.20/x
  3. Step 3: Cross multiply
    71,392.32x = 107,066.34 × 57,319.20
  4. Step 4: Simplify right side
    71,392.32x = 6,136,956,955.73
  5. Step 5: Solve for x
    x = 6,136,956,955.73/71,392.32
  6. Step 6: Final answer
    x = 85,961.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.