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Finding the Fourth Proportional to 265,340.90, 398,063.87 and 75,802.90

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Solution

The fourth proportional to 265,340.90, 398,063.87 and 75,802.90 is: 113,719.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,340.90 : 398,063.87 = 75,802.90 : x
  2. Step 2: Convert to fraction form
    265,340.90/398,063.87 = 75,802.90/x
  3. Step 3: Cross multiply
    265,340.90x = 398,063.87 × 75,802.90
  4. Step 4: Simplify right side
    265,340.90x = 30,174,395,731.22
  5. Step 5: Solve for x
    x = 30,174,395,731.22/265,340.90
  6. Step 6: Final answer
    x = 113,719.35

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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.