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Finding the Fourth Proportional to 85,295.25, 128,053.74 and 65,587.65

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Solution

The fourth proportional to 85,295.25, 128,053.74 and 65,587.65 is: 98,466.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,295.25 : 128,053.74 = 65,587.65 : x
  2. Step 2: Convert to fraction form
    85,295.25/128,053.74 = 65,587.65/x
  3. Step 3: Cross multiply
    85,295.25x = 128,053.74 × 65,587.65
  4. Step 4: Simplify right side
    85,295.25x = 8,398,743,404.01
  5. Step 5: Solve for x
    x = 8,398,743,404.01/85,295.25
  6. Step 6: Final answer
    x = 98,466.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.