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Finding the Fourth Proportional to 312,237.06, 468,372.18 and 99,021.78

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Solution

The fourth proportional to 312,237.06, 468,372.18 and 99,021.78 is: 148,537.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,237.06 : 468,372.18 = 99,021.78 : x
  2. Step 2: Convert to fraction form
    312,237.06/468,372.18 = 99,021.78/x
  3. Step 3: Cross multiply
    312,237.06x = 468,372.18 × 99,021.78
  4. Step 4: Simplify right side
    312,237.06x = 46,379,046,966.08
  5. Step 5: Solve for x
    x = 46,379,046,966.08/312,237.06
  6. Step 6: Final answer
    x = 148,537.93

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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.