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Finding the Fourth Proportional to 175,824, 242,637.12 and 100,374.48

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Solution

The fourth proportional to 175,824, 242,637.12 and 100,374.48 is: 138,516.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,824 : 242,637.12 = 100,374.48 : x
  2. Step 2: Convert to fraction form
    175,824/242,637.12 = 100,374.48/x
  3. Step 3: Cross multiply
    175,824x = 242,637.12 × 100,374.48
  4. Step 4: Simplify right side
    175,824x = 24,354,574,748.70
  5. Step 5: Solve for x
    x = 24,354,574,748.70/175,824
  6. Step 6: Final answer
    x = 138,516.78

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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.