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Finding the Fourth Proportional to 57,645.64, 86,312.70 and 29,885.32

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Solution

The fourth proportional to 57,645.64, 86,312.70 and 29,885.32 is: 44,747.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,645.64 : 86,312.70 = 29,885.32 : x
  2. Step 2: Convert to fraction form
    57,645.64/86,312.70 = 29,885.32/x
  3. Step 3: Cross multiply
    57,645.64x = 86,312.70 × 29,885.32
  4. Step 4: Simplify right side
    57,645.64x = 2,579,482,659.56
  5. Step 5: Solve for x
    x = 2,579,482,659.56/57,645.64
  6. Step 6: Final answer
    x = 44,747.23

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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.