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Finding the Fourth Proportional to 215,215.80, 322,866.90 and 65,465.40

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Solution

The fourth proportional to 215,215.80, 322,866.90 and 65,465.40 is: 98,211.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,215.80 : 322,866.90 = 65,465.40 : x
  2. Step 2: Convert to fraction form
    215,215.80/322,866.90 = 65,465.40/x
  3. Step 3: Cross multiply
    215,215.80x = 322,866.90 × 65,465.40
  4. Step 4: Simplify right side
    215,215.80x = 21,136,610,755.26
  5. Step 5: Solve for x
    x = 21,136,610,755.26/215,215.80
  6. Step 6: Final answer
    x = 98,211.24

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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.