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Finding the Fourth Proportional to 255,009, 382,557.24 and 77,533.96

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Solution

The fourth proportional to 255,009, 382,557.24 and 77,533.96 is: 116,314.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,009 : 382,557.24 = 77,533.96 : x
  2. Step 2: Convert to fraction form
    255,009/382,557.24 = 77,533.96/x
  3. Step 3: Cross multiply
    255,009x = 382,557.24 × 77,533.96
  4. Step 4: Simplify right side
    255,009x = 29,661,177,743.87
  5. Step 5: Solve for x
    x = 29,661,177,743.87/255,009
  6. Step 6: Final answer
    x = 116,314.24

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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.