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Finding the Fourth Proportional to 145,274.88, 217,780.80 and 100,922.40

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Solution

The fourth proportional to 145,274.88, 217,780.80 and 100,922.40 is: 151,292.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,274.88 : 217,780.80 = 100,922.40 : x
  2. Step 2: Convert to fraction form
    145,274.88/217,780.80 = 100,922.40/x
  3. Step 3: Cross multiply
    145,274.88x = 217,780.80 × 100,922.40
  4. Step 4: Simplify right side
    145,274.88x = 21,978,961,009.92
  5. Step 5: Solve for x
    x = 21,978,961,009.92/145,274.88
  6. Step 6: Final answer
    x = 151,292.23

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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.