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Finding the Fourth Proportional to 65,238.62, 89,829.10 and 57,125.86

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Solution

The fourth proportional to 65,238.62, 89,829.10 and 57,125.86 is: 78,658.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,238.62 : 89,829.10 = 57,125.86 : x
  2. Step 2: Convert to fraction form
    65,238.62/89,829.10 = 57,125.86/x
  3. Step 3: Cross multiply
    65,238.62x = 89,829.10 × 57,125.86
  4. Step 4: Simplify right side
    65,238.62x = 5,131,564,437.36
  5. Step 5: Solve for x
    x = 5,131,564,437.36/65,238.62
  6. Step 6: Final answer
    x = 78,658.39

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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.