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Finding the Fourth Proportional to 85,294.81, 128,053.09 and 65,587.21

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Solution

The fourth proportional to 85,294.81, 128,053.09 and 65,587.21 is: 98,466.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,294.81 : 128,053.09 = 65,587.21 : x
  2. Step 2: Convert to fraction form
    85,294.81/128,053.09 = 65,587.21/x
  3. Step 3: Cross multiply
    85,294.81x = 128,053.09 × 65,587.21
  4. Step 4: Simplify right side
    85,294.81x = 8,398,644,297.90
  5. Step 5: Solve for x
    x = 8,398,644,297.90/85,294.81
  6. Step 6: Final answer
    x = 98,466.06

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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.