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Finding the Fourth Proportional to 265,809.72, 398,646.12 and 78,777.48

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Solution

The fourth proportional to 265,809.72, 398,646.12 and 78,777.48 is: 118,145.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,809.72 : 398,646.12 = 78,777.48 : x
  2. Step 2: Convert to fraction form
    265,809.72/398,646.12 = 78,777.48/x
  3. Step 3: Cross multiply
    265,809.72x = 398,646.12 × 78,777.48
  4. Step 4: Simplify right side
    265,809.72x = 31,404,336,745.38
  5. Step 5: Solve for x
    x = 31,404,336,745.38/265,809.72
  6. Step 6: Final answer
    x = 118,145.93

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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.