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Finding the Fourth Proportional to 270,894.06, 406,392.12 and 121,140.72

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Solution

The fourth proportional to 270,894.06, 406,392.12 and 121,140.72 is: 181,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,894.06 : 406,392.12 = 121,140.72 : x
  2. Step 2: Convert to fraction form
    270,894.06/406,392.12 = 121,140.72/x
  3. Step 3: Cross multiply
    270,894.06x = 406,392.12 × 121,140.72
  4. Step 4: Simplify right side
    270,894.06x = 49,230,634,019.13
  5. Step 5: Solve for x
    x = 49,230,634,019.13/270,894.06
  6. Step 6: Final answer
    x = 181,733.90

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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.