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Finding the Fourth Proportional to 185,447.73, 255,918 and 100,564.77

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Solution

The fourth proportional to 185,447.73, 255,918 and 100,564.77 is: 138,779.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,447.73 : 255,918 = 100,564.77 : x
  2. Step 2: Convert to fraction form
    185,447.73/255,918 = 100,564.77/x
  3. Step 3: Cross multiply
    185,447.73x = 255,918 × 100,564.77
  4. Step 4: Simplify right side
    185,447.73x = 25,736,334,808.86
  5. Step 5: Solve for x
    x = 25,736,334,808.86/185,447.73
  6. Step 6: Final answer
    x = 138,779.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.