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Finding the Fourth Proportional to 265,461.68, 398,035.05 and 105,451.64

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Solution

The fourth proportional to 265,461.68, 398,035.05 and 105,451.64 is: 158,114.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,461.68 : 398,035.05 = 105,451.64 : x
  2. Step 2: Convert to fraction form
    265,461.68/398,035.05 = 105,451.64/x
  3. Step 3: Cross multiply
    265,461.68x = 398,035.05 × 105,451.64
  4. Step 4: Simplify right side
    265,461.68x = 41,973,446,809.81
  5. Step 5: Solve for x
    x = 41,973,446,809.81/265,461.68
  6. Step 6: Final answer
    x = 158,114.90

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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.