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Finding the Fourth Proportional to 260,166.92, 390,072.80 and 138,605.63

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Solution

The fourth proportional to 260,166.92, 390,072.80 and 138,605.63 is: 207,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,166.92 : 390,072.80 = 138,605.63 : x
  2. Step 2: Convert to fraction form
    260,166.92/390,072.80 = 138,605.63/x
  3. Step 3: Cross multiply
    260,166.92x = 390,072.80 × 138,605.63
  4. Step 4: Simplify right side
    260,166.92x = 54,066,283,546.47
  5. Step 5: Solve for x
    x = 54,066,283,546.47/260,166.92
  6. Step 6: Final answer
    x = 207,813.83

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1.5x scale

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.