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Finding the Fourth Proportional to 215,136, 322,721.04 and 65,389.28

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Solution

The fourth proportional to 215,136, 322,721.04 and 65,389.28 is: 98,089.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,136 : 322,721.04 = 65,389.28 : x
  2. Step 2: Convert to fraction form
    215,136/322,721.04 = 65,389.28/x
  3. Step 3: Cross multiply
    215,136x = 322,721.04 × 65,389.28
  4. Step 4: Simplify right side
    215,136x = 21,102,496,446.45
  5. Step 5: Solve for x
    x = 21,102,496,446.45/215,136
  6. Step 6: Final answer
    x = 98,089.10

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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.