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Finding the Fourth Proportional to 216,545.04, 324,817.56 and 105,642

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Solution

The fourth proportional to 216,545.04, 324,817.56 and 105,642 is: 158,463

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,545.04 : 324,817.56 = 105,642 : x
  2. Step 2: Convert to fraction form
    216,545.04/324,817.56 = 105,642/x
  3. Step 3: Cross multiply
    216,545.04x = 324,817.56 × 105,642
  4. Step 4: Simplify right side
    216,545.04x = 34,314,376,673.52
  5. Step 5: Solve for x
    x = 34,314,376,673.52/216,545.04
  6. Step 6: Final answer
    x = 158,463

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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.