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Finding the Fourth Proportional to 265,778.65, 398,730.75 and 105,863.77

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Solution

The fourth proportional to 265,778.65, 398,730.75 and 105,863.77 is: 158,820.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,778.65 : 398,730.75 = 105,863.77 : x
  2. Step 2: Convert to fraction form
    265,778.65/398,730.75 = 105,863.77/x
  3. Step 3: Cross multiply
    265,778.65x = 398,730.75 × 105,863.77
  4. Step 4: Simplify right side
    265,778.65x = 42,211,140,409.93
  5. Step 5: Solve for x
    x = 42,211,140,409.93/265,778.65
  6. Step 6: Final answer
    x = 158,820.66

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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.