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Finding the Fourth Proportional to 270,643.86, 406,015.65 and 90,711.72

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Solution

The fourth proportional to 270,643.86, 406,015.65 and 90,711.72 is: 136,084.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,643.86 : 406,015.65 = 90,711.72 : x
  2. Step 2: Convert to fraction form
    270,643.86/406,015.65 = 90,711.72/x
  3. Step 3: Cross multiply
    270,643.86x = 406,015.65 × 90,711.72
  4. Step 4: Simplify right side
    270,643.86x = 36,830,377,958.42
  5. Step 5: Solve for x
    x = 36,830,377,958.42/270,643.86
  6. Step 6: Final answer
    x = 136,084.29

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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.