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Finding the Fourth Proportional to 64,977.29, 89,673.86 and 51,658.46

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Solution

The fourth proportional to 64,977.29, 89,673.86 and 51,658.46 is: 71,292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,977.29 : 89,673.86 = 51,658.46 : x
  2. Step 2: Convert to fraction form
    64,977.29/89,673.86 = 51,658.46/x
  3. Step 3: Cross multiply
    64,977.29x = 89,673.86 × 51,658.46
  4. Step 4: Simplify right side
    64,977.29x = 4,632,413,190.63
  5. Step 5: Solve for x
    x = 4,632,413,190.63/64,977.29
  6. Step 6: Final answer
    x = 71,292.81

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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.