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Finding the Fourth Proportional to 265,634.83, 398,510.66 and 78,660.91

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Solution

The fourth proportional to 265,634.83, 398,510.66 and 78,660.91 is: 118,008.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,634.83 : 398,510.66 = 78,660.91 : x
  2. Step 2: Convert to fraction form
    265,634.83/398,510.66 = 78,660.91/x
  3. Step 3: Cross multiply
    265,634.83x = 398,510.66 × 78,660.91
  4. Step 4: Simplify right side
    265,634.83x = 31,347,211,160.30
  5. Step 5: Solve for x
    x = 31,347,211,160.30/265,634.83
  6. Step 6: Final answer
    x = 118,008.66

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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.