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Finding the Fourth Proportional to 312,077.82, 468,129.69 and 101,717.58

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Solution

The fourth proportional to 312,077.82, 468,129.69 and 101,717.58 is: 152,580.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,077.82 : 468,129.69 = 101,717.58 : x
  2. Step 2: Convert to fraction form
    312,077.82/468,129.69 = 101,717.58/x
  3. Step 3: Cross multiply
    312,077.82x = 468,129.69 × 101,717.58
  4. Step 4: Simplify right side
    312,077.82x = 47,617,019,192.95
  5. Step 5: Solve for x
    x = 47,617,019,192.95/312,077.82
  6. Step 6: Final answer
    x = 152,580.59

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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.