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Finding the Fourth Proportional to 265,770.29, 398,657.03 and 66,090.68

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Solution

The fourth proportional to 265,770.29, 398,657.03 and 66,090.68 is: 99,136.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,770.29 : 398,657.03 = 66,090.68 : x
  2. Step 2: Convert to fraction form
    265,770.29/398,657.03 = 66,090.68/x
  3. Step 3: Cross multiply
    265,770.29x = 398,657.03 × 66,090.68
  4. Step 4: Simplify right side
    265,770.29x = 26,347,513,370.71
  5. Step 5: Solve for x
    x = 26,347,513,370.71/265,770.29
  6. Step 6: Final answer
    x = 99,136.41

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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.