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Finding the Fourth Proportional to 135,392.88, 203,275.66 and 68,878

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Solution

The fourth proportional to 135,392.88, 203,275.66 and 68,878 is: 103,411.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,392.88 : 203,275.66 = 68,878 : x
  2. Step 2: Convert to fraction form
    135,392.88/203,275.66 = 68,878/x
  3. Step 3: Cross multiply
    135,392.88x = 203,275.66 × 68,878
  4. Step 4: Simplify right side
    135,392.88x = 14,001,220,909.48
  5. Step 5: Solve for x
    x = 14,001,220,909.48/135,392.88
  6. Step 6: Final answer
    x = 103,411.80

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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.