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Finding the Fourth Proportional to 270,994.68, 406,741.50 and 137,970

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Solution

The fourth proportional to 270,994.68, 406,741.50 and 137,970 is: 207,082.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,994.68 : 406,741.50 = 137,970 : x
  2. Step 2: Convert to fraction form
    270,994.68/406,741.50 = 137,970/x
  3. Step 3: Cross multiply
    270,994.68x = 406,741.50 × 137,970
  4. Step 4: Simplify right side
    270,994.68x = 56,118,124,755
  5. Step 5: Solve for x
    x = 56,118,124,755/270,994.68
  6. Step 6: Final answer
    x = 207,082.02

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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.