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Finding the Fourth Proportional to 64,654.26, 89,266.80 and 47,660.46

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Solution

The fourth proportional to 64,654.26, 89,266.80 and 47,660.46 is: 65,803.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,654.26 : 89,266.80 = 47,660.46 : x
  2. Step 2: Convert to fraction form
    64,654.26/89,266.80 = 47,660.46/x
  3. Step 3: Cross multiply
    64,654.26x = 89,266.80 × 47,660.46
  4. Step 4: Simplify right side
    64,654.26x = 4,254,496,750.73
  5. Step 5: Solve for x
    x = 4,254,496,750.73/64,654.26
  6. Step 6: Final answer
    x = 65,803.81

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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.