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Finding the Fourth Proportional to 64,858.34, 89,402.20 and 47,807.96

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Solution

The fourth proportional to 64,858.34, 89,402.20 and 47,807.96 is: 65,899.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,858.34 : 89,402.20 = 47,807.96 : x
  2. Step 2: Convert to fraction form
    64,858.34/89,402.20 = 47,807.96/x
  3. Step 3: Cross multiply
    64,858.34x = 89,402.20 × 47,807.96
  4. Step 4: Simplify right side
    64,858.34x = 4,274,136,234.98
  5. Step 5: Solve for x
    x = 4,274,136,234.98/64,858.34
  6. Step 6: Final answer
    x = 65,899.56

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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.