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Finding the Fourth Proportional to 175,842.60, 242,421.78 and 111,279.72

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Solution

The fourth proportional to 175,842.60, 242,421.78 and 111,279.72 is: 153,413.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,842.60 : 242,421.78 = 111,279.72 : x
  2. Step 2: Convert to fraction form
    175,842.60/242,421.78 = 111,279.72/x
  3. Step 3: Cross multiply
    175,842.60x = 242,421.78 × 111,279.72
  4. Step 4: Simplify right side
    175,842.60x = 26,976,627,800.30
  5. Step 5: Solve for x
    x = 26,976,627,800.30/175,842.60
  6. Step 6: Final answer
    x = 153,413.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.