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Finding the Fourth Proportional to 175,878, 242,755.92 and 100,470.24

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Solution

The fourth proportional to 175,878, 242,755.92 and 100,470.24 is: 138,674.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,878 : 242,755.92 = 100,470.24 : x
  2. Step 2: Convert to fraction form
    175,878/242,755.92 = 100,470.24/x
  3. Step 3: Cross multiply
    175,878x = 242,755.92 × 100,470.24
  4. Step 4: Simplify right side
    175,878x = 24,389,745,543.82
  5. Step 5: Solve for x
    x = 24,389,745,543.82/175,878
  6. Step 6: Final answer
    x = 138,674.23

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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.