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Finding the Fourth Proportional to 255,174.64, 382,761.52 and 86,712.48

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Solution

The fourth proportional to 255,174.64, 382,761.52 and 86,712.48 is: 130,068.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,174.64 : 382,761.52 = 86,712.48 : x
  2. Step 2: Convert to fraction form
    255,174.64/382,761.52 = 86,712.48/x
  3. Step 3: Cross multiply
    255,174.64x = 382,761.52 × 86,712.48
  4. Step 4: Simplify right side
    255,174.64x = 33,190,200,647.77
  5. Step 5: Solve for x
    x = 33,190,200,647.77/255,174.64
  6. Step 6: Final answer
    x = 130,068.57

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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.