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Finding the Fourth Proportional to 65,285.64, 89,507.45 and 64,104.66

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Solution

The fourth proportional to 65,285.64, 89,507.45 and 64,104.66 is: 87,888.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,285.64 : 89,507.45 = 64,104.66 : x
  2. Step 2: Convert to fraction form
    65,285.64/89,507.45 = 64,104.66/x
  3. Step 3: Cross multiply
    65,285.64x = 89,507.45 × 64,104.66
  4. Step 4: Simplify right side
    65,285.64x = 5,737,844,329.19
  5. Step 5: Solve for x
    x = 5,737,844,329.19/65,285.64
  6. Step 6: Final answer
    x = 87,888.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.