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Finding the Fourth Proportional to 265,719.21, 398,510.77 and 78,686.97

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Solution

The fourth proportional to 265,719.21, 398,510.77 and 78,686.97 is: 118,010.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,719.21 : 398,510.77 = 78,686.97 : x
  2. Step 2: Convert to fraction form
    265,719.21/398,510.77 = 78,686.97/x
  3. Step 3: Cross multiply
    265,719.21x = 398,510.77 × 78,686.97
  4. Step 4: Simplify right side
    265,719.21x = 31,357,605,003.67
  5. Step 5: Solve for x
    x = 31,357,605,003.67/265,719.21
  6. Step 6: Final answer
    x = 118,010.30

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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.