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Finding the Fourth Proportional to 265,809.12, 398,645.76 and 78,776.96

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Solution

The fourth proportional to 265,809.12, 398,645.76 and 78,776.96 is: 118,145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,809.12 : 398,645.76 = 78,776.96 : x
  2. Step 2: Convert to fraction form
    265,809.12/398,645.76 = 78,776.96/x
  3. Step 3: Cross multiply
    265,809.12x = 398,645.76 × 78,776.96
  4. Step 4: Simplify right side
    265,809.12x = 31,404,101,089.69
  5. Step 5: Solve for x
    x = 31,404,101,089.69/265,809.12
  6. Step 6: Final answer
    x = 118,145.31

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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.